Algebra Examples

$167 = 8 c^{3} - 9$

Step 1

Rewrite the equation as $8 c^{3} - 9 = 167$ .

$8 c^{3} - 9 = 167$

Step 2

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

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Step 2.1

Add $9$ to both sides of the equation.

$8 c^{3} = 167 + 9$

Step 2.2

Add $167$ and $9$ .

$8 c^{3} = 176$

Step 3

Subtract $176$ from both sides of the equation.

$8 c^{3} - 176 = 0$

Step 4

Factor $8$ out of $8 c^{3} - 176$ .

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Step 4.1

Factor $8$ out of $8 c^{3}$ .

$8 (c^{3}) - 176 = 0$

Step 4.2

Factor $8$ out of $- 176$ .

$8 c^{3} + 8 \cdot - 22 = 0$

Step 4.3

Factor $8$ out of $8 c^{3} + 8 \cdot - 22$ .

$8 (c^{3} - 22) = 0$

Step 5

Divide each term in $8 (c^{3} - 22) = 0$ by $8$ and simplify.

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Step 5.1

Divide each term in $8 (c^{3} - 22) = 0$ by $8$ .

$\frac{8 (c^{3} - 22)}{8} = \frac{0}{8}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $8$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{8 (c^{3} - 22)}{8} = \frac{0}{8}$

Step 5.2.1.2

Divide $c^{3} - 22$ by $1$ .

$c^{3} - 22 = \frac{0}{8}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $8$ .

$c^{3} - 22 = 0$

Step 6

Add $22$ to both sides of the equation.

$c^{3} = 22$

Step 7

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

$c = \sqrt[3]{22}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$c = \sqrt[3]{22}$

Decimal Form:

$c = 2.80203933 \dots$