Basic Math Examples

120 \cdot \frac{- 16000}{19230.76 \cdot 360} \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0

$120 \cdot \frac{- 16000}{19230.76 \cdot 360} \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0$

Step 1

Simplify

120 \cdot \frac{- 16000}{19230.76 \cdot 360} \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A

$120 \cdot \frac{- 16000}{19230.76 \cdot 360} \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply

19230.76

$19230.76$ by

360

$360$ .

120 \cdot \frac{- 16000}{6923073.6} \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0

$120 \cdot \frac{- 16000}{6923073.6} \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.2

Divide

- 16000

$- 16000$ by

6923073.6

$6923073.6$ .

120 \cdot - 0.00231111 \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0

$120 \cdot - 0.00231111 \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.3

Multiply

120

$120$ by

- 0.00231111

$- 0.00231111$ .

- 0.27733346 \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0

$- 0.27733346 \cdot {0.5}^{3} + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.4

Raise

0.5

$0.5$ to the power of

3

$3$ .

- 0.27733346 \cdot 0.125 + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0

$- 0.27733346 \cdot 0.125 + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.5

Multiply

- 0.27733346

$- 0.27733346$ by

0.125

$0.125$ .

- 0.03466668 + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0

$- 0.03466668 + 60 \cdot \frac{160000}{120 \cdot 19230.76} \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.6

Multiply

120

$120$ by

19230.76

$19230.76$ .

- 0.03466668 + 60 \cdot \frac{160000}{2307691.2} \cdot 0.25 + 6 \cdot A = 0

$- 0.03466668 + 60 \cdot \frac{160000}{2307691.2} \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.7

Divide

160000

$160000$ by

2307691.2

$2307691.2$ .

- 0.03466668 + 60 \cdot 0.06933336 \cdot 0.25 + 6 \cdot A = 0

$- 0.03466668 + 60 \cdot 0.06933336 \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.8

Multiply

60 \cdot 0.06933336 \cdot 0.25

$60 \cdot 0.06933336 \cdot 0.25$ .

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Step 1.1.8.1

Multiply

60

$60$ by

0.06933336

$0.06933336$ .

- 0.03466668 + 4.16000199 \cdot 0.25 + 6 \cdot A = 0

$- 0.03466668 + 4.16000199 \cdot 0.25 + 6 \cdot A = 0$

Step 1.1.8.2

Multiply

4.16000199

$4.16000199$ by

0.25

$0.25$ .

- 0.03466668 + 1.04000049 + 6 \cdot A = 0

$- 0.03466668 + 1.04000049 + 6 \cdot A = 0$

- 0.03466668 + 1.04000049 + 6 A = 0

$- 0.03466668 + 1.04000049 + 6 A = 0$

- 0.03466668 + 1.04000049 + 6 A = 0

$- 0.03466668 + 1.04000049 + 6 A = 0$

Step 1.2

Add

- 0.03466668

$- 0.03466668$ and

1.04000049

$1.04000049$ .

1.00533381 + 6 A = 0

$1.00533381 + 6 A = 0$

1.00533381 + 6 A = 0

$1.00533381 + 6 A = 0$

Step 2

Subtract

1.00533381

$1.00533381$ from both sides of the equation.

6 A = - 1.00533381

$6 A = - 1.00533381$

Step 3

Divide each term in

6 A = - 1.00533381

$6 A = - 1.00533381$ by

6

$6$ and simplify.

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Step 3.1

Divide each term in

6 A = - 1.00533381

$6 A = - 1.00533381$ by

6

$6$ .

\frac{6 A}{6} = \frac{- 1.00533381}{6}

$\frac{6 A}{6} = \frac{- 1.00533381}{6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

6

$6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{6 A}{6} = \frac{- 1.00533381}{6}$

Step 3.2.1.2

Divide

$A$ by

$1$ .

$A = \frac{- 1.00533381}{6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 1.00533381$ by

$6$ .

$A = - 0.16755563$