Basic Math Examples

75 + 0.004 (60000) - 4 P = - 43 - 0.4 \cdot 80 + 3 P

$75 + 0.004 (60000) - 4 P = - 43 - 0.4 \cdot 80 + 3 P$

Step 1

Simplify

75 + 0.004 (60000) - 4 P

$75 + 0.004 (60000) - 4 P$ .

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Step 1.1

Multiply

0.004

$0.004$ by

60000

$60000$ .

75 + 240 - 4 P = - 43 - 0.4 \cdot 80 + 3 P

$75 + 240 - 4 P = - 43 - 0.4 \cdot 80 + 3 P$

Step 1.2

Add

75

$75$ and

240

$240$ .

315 - 4 P = - 43 - 0.4 \cdot 80 + 3 P

$315 - 4 P = - 43 - 0.4 \cdot 80 + 3 P$

315 - 4 P = - 43 - 0.4 \cdot 80 + 3 P

$315 - 4 P = - 43 - 0.4 \cdot 80 + 3 P$

Step 2

Simplify

- 43 - 0.4 \cdot 80 + 3 P

$- 43 - 0.4 \cdot 80 + 3 P$ .

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Step 2.1

Multiply

- 0.4

$- 0.4$ by

80

$80$ .

315 - 4 P = - 43 - 32 + 3 P

$315 - 4 P = - 43 - 32 + 3 P$

Step 2.2

Subtract

32

$32$ from

- 43

$- 43$ .

315 - 4 P = - 75 + 3 P

$315 - 4 P = - 75 + 3 P$

315 - 4 P = - 75 + 3 P

$315 - 4 P = - 75 + 3 P$

Step 3

Move all terms containing

P

$P$ to the left side of the equation.

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Step 3.1

Subtract

3 P

$3 P$ from both sides of the equation.

315 - 4 P - 3 P = - 75

$315 - 4 P - 3 P = - 75$

Step 3.2

Subtract

3 P

$3 P$ from

- 4 P

$- 4 P$ .

315 - 7 P = - 75

$315 - 7 P = - 75$

315 - 7 P = - 75

$315 - 7 P = - 75$

Step 4

Move all terms not containing

P

$P$ to the right side of the equation.

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Step 4.1

Subtract

315

$315$ from both sides of the equation.

- 7 P = - 75 - 315

$- 7 P = - 75 - 315$

Step 4.2

Subtract

315

$315$ from

- 75

$- 75$ .

- 7 P = - 390

$- 7 P = - 390$

- 7 P = - 390

$- 7 P = - 390$

Step 5

Divide each term in

- 7 P = - 390

$- 7 P = - 390$ by

- 7

$- 7$ and simplify.

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Step 5.1

Divide each term in

- 7 P = - 390

$- 7 P = - 390$ by

- 7

$- 7$ .

\frac{- 7 P}{- 7} = \frac{- 390}{- 7}

$\frac{- 7 P}{- 7} = \frac{- 390}{- 7}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

- 7

$- 7$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 7 P}{- 7} = \frac{- 390}{- 7}$

Step 5.2.1.2

Divide

$P$ by

$1$ .

$P = \frac{- 390}{- 7}$

$P = \frac{- 390}{- 7}$

$P = \frac{- 390}{- 7}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of

$- 390$ and

$- 7$ .

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Step 5.3.1.1

Rewrite

$- 390$ as

$- 1 (390)$ .

$P = \frac{- 1 (390)}{- 7}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Rewrite

$- 7$ as

$- 1 (7)$ .

$P = \frac{- 1 \cdot 390}{- 1 \cdot 7}$

Step 5.3.1.2.2

Cancel the common factor.

$P = \frac{- 1 \cdot 390}{- 1 \cdot 7}$

Step 5.3.1.2.3

Rewrite the expression.

$P = \frac{390}{7}$

$P = \frac{390}{7}$

$P = \frac{390}{7}$

$P = \frac{390}{7}$

$P = \frac{390}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$P = \frac{390}{7}$

Decimal Form:

$P = 55.71428571 \dots$

Mixed Number Form:

$P = 55 \frac{5}{7}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$