Algebra Examples

$- 145 = - 3 m^{3} + 5$

Step 1

Rewrite the equation as $- 3 m^{3} + 5 = - 145$ .

$- 3 m^{3} + 5 = - 145$

Step 2

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

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Step 2.1

Subtract $5$ from both sides of the equation.

$- 3 m^{3} = - 145 - 5$

Step 2.2

Subtract $5$ from $- 145$ .

$- 3 m^{3} = - 150$

Step 3

Add $150$ to both sides of the equation.

$- 3 m^{3} + 150 = 0$

Step 4

Factor $- 3$ out of $- 3 m^{3} + 150$ .

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Step 4.1

Factor $- 3$ out of $150$ .

$- 3 m^{3} - 3 \cdot - 50 = 0$

Step 4.2

Factor $- 3$ out of $- 3 (m^{3}) - 3 (- 50)$ .

$- 3 (m^{3} - 50) = 0$

Step 5

Divide each term in $- 3 (m^{3} - 50) = 0$ by $- 3$ and simplify.

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Step 5.1

Divide each term in $- 3 (m^{3} - 50) = 0$ by $- 3$ .

$\frac{- 3 (m^{3} - 50)}{- 3} = \frac{0}{- 3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 3 (m^{3} - 50)}{- 3} = \frac{0}{- 3}$

Step 5.2.1.2

Divide $m^{3} - 50$ by $1$ .

$m^{3} - 50 = \frac{0}{- 3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $- 3$ .

$m^{3} - 50 = 0$

Step 6

Add $50$ to both sides of the equation.

$m^{3} = 50$

Step 7

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

$m = \sqrt[3]{50}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$m = \sqrt[3]{50}$

Decimal Form:

$m = 3.68403149 \dots$