Basic Math Examples

$864 = (2 \cdot 0.45 + m \cdot 4.19) \cdot (100 - 28)$

Step 1

Rewrite the equation as

$(2 \cdot 0.45 + m \cdot 4.19) \cdot (100 - 28) = 864$ .

$(2 \cdot 0.45 + m \cdot 4.19) \cdot (100 - 28) = 864$

Step 2

Simplify.

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Step 2.1

Multiply

$2$ by

$0.45$ .

$(0.9 + m \cdot 4.19) \cdot (100 - 28) = 864$

Step 2.2

Subtract

$28$ from

$100$ .

$(0.9 + m \cdot 4.19) \cdot 72 = 864$

Step 3

Divide each term in

$(0.9 + m \cdot 4.19) \cdot 72 = 864$ by

$72$ and simplify.

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Step 3.1

Divide each term in

$(0.9 + m \cdot 4.19) \cdot 72 = 864$ by

$72$ .

$\frac{(0.9 + m \cdot 4.19) \cdot 72}{72} = \frac{864}{72}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$72$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{(0.9 + m \cdot 4.19) \cdot 72}{72} = \frac{864}{72}$

Step 3.2.1.2

Divide

$0.9 + m \cdot 4.19$ by

$1$ .

$0.9 + m \cdot 4.19 = \frac{864}{72}$

Step 3.2.2

Move

$4.19$ to the left of

$m$ .

$0.9 + 4.19 m = \frac{864}{72}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$864$ by

$72$ .

$0.9 + 4.19 m = 12$

Step 4

Move all terms not containing

$m$ to the right side of the equation.

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Step 4.1

Subtract

$0.9$ from both sides of the equation.

$4.19 m = 12 - 0.9$

Step 4.2

Subtract

$0.9$ from

$12$ .

$4.19 m = 11.1$

Step 5

Divide each term in

$4.19 m = 11.1$ by

$4.19$ and simplify.

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Step 5.1

Divide each term in

$4.19 m = 11.1$ by

$4.19$ .

$\frac{4.19 m}{4.19} = \frac{11.1}{4.19}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

$4.19$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{4.19 m}{4.19} = \frac{11.1}{4.19}$

Step 5.2.1.2

Divide

$m$ by

$1$ .

$m = \frac{11.1}{4.19}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

$11.1$ by

$4.19$ .

$m = 2.64916467$