Algebra Examples

$9 - 5 m^{3} = - 86$

Step 1

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

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Step 1.1

Subtract $9$ from both sides of the equation.

$- 5 m^{3} = - 86 - 9$

Step 1.2

Subtract $9$ from $- 86$ .

$- 5 m^{3} = - 95$

Step 2

Add $95$ to both sides of the equation.

$- 5 m^{3} + 95 = 0$

Step 3

Factor $- 5$ out of $- 5 m^{3} + 95$ .

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Step 3.1

Factor $- 5$ out of $95$ .

$- 5 m^{3} - 5 \cdot - 19 = 0$

Step 3.2

Factor $- 5$ out of $- 5 (m^{3}) - 5 (- 19)$ .

$- 5 (m^{3} - 19) = 0$

Step 4

Divide each term in $- 5 (m^{3} - 19) = 0$ by $- 5$ and simplify.

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Step 4.1

Divide each term in $- 5 (m^{3} - 19) = 0$ by $- 5$ .

$\frac{- 5 (m^{3} - 19)}{- 5} = \frac{0}{- 5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 5 (m^{3} - 19)}{- 5} = \frac{0}{- 5}$

Step 4.2.1.2

Divide $m^{3} - 19$ by $1$ .

$m^{3} - 19 = \frac{0}{- 5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $- 5$ .

$m^{3} - 19 = 0$

Step 5

Add $19$ to both sides of the equation.

$m^{3} = 19$

Step 6

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$m = \sqrt[3]{19}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$m = \sqrt[3]{19}$

Decimal Form:

$m = 2.66840164 \dots$