Basic Math Examples

$448 \div (a + 17) = - 64$

Step 1

Multiply both sides by $a + 17$ .

$448 \div (a + 17) (a + 17) = - 64 (a + 17)$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $448 \div (a + 17) (a + 17)$ .

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Step 2.1.1.1

Rewrite the division as a fraction.

$\frac{448}{a + 17} (a + 17) = - 64 (a + 17)$

Step 2.1.1.2

Cancel the common factor of $a + 17$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{448}{a + 17} (a + 17) = - 64 (a + 17)$

Step 2.1.1.2.2

Rewrite the expression.

$448 = - 64 (a + 17)$

$448 = - 64 (a + 17)$

$448 = - 64 (a + 17)$

$448 = - 64 (a + 17)$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 64 (a + 17)$ .

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Step 2.2.1.1

Apply the distributive property.

$448 = - 64 a - 64 \cdot 17$

Step 2.2.1.2

Multiply $- 64$ by $17$ .

$448 = - 64 a - 1088$

$448 = - 64 a - 1088$

$448 = - 64 a - 1088$

$448 = - 64 a - 1088$

Step 3

Solve for $a$ .

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Step 3.1

Rewrite the equation as $- 64 a - 1088 = 448$ .

$- 64 a - 1088 = 448$

Step 3.2

Move all terms not containing $a$ to the right side of the equation.

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Step 3.2.1

Add $1088$ to both sides of the equation.

$- 64 a = 448 + 1088$

Step 3.2.2

Add $448$ and $1088$ .

$- 64 a = 1536$

$- 64 a = 1536$

Step 3.3

Divide each term in $- 64 a = 1536$ by $- 64$ and simplify.

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Step 3.3.1

Divide each term in $- 64 a = 1536$ by $- 64$ .

$\frac{- 64 a}{- 64} = \frac{1536}{- 64}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $- 64$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{- 64 a}{- 64} = \frac{1536}{- 64}$

Step 3.3.2.1.2

Divide $a$ by $1$ .

$a = \frac{1536}{- 64}$

$a = \frac{1536}{- 64}$

$a = \frac{1536}{- 64}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Divide $1536$ by $- 64$ .

$a = - 24$

$a = - 24$

$a = - 24$

$a = - 24$

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