Basic Math Examples

$3 y^{3} + 2 = 29$

Step 1

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

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Step 1.1

Subtract $2$ from both sides of the equation.

$3 y^{3} = 29 - 2$

Step 1.2

Subtract $2$ from $29$ .

$3 y^{3} = 27$

Step 2

Subtract $27$ from both sides of the equation.

$3 y^{3} - 27 = 0$

Step 3

Factor $3$ out of $3 y^{3} - 27$ .

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Step 3.1

Factor $3$ out of $3 y^{3}$ .

$3 (y^{3}) - 27 = 0$

Step 3.2

Factor $3$ out of $- 27$ .

$3 y^{3} + 3 \cdot - 9 = 0$

Step 3.3

Factor $3$ out of $3 y^{3} + 3 \cdot - 9$ .

$3 (y^{3} - 9) = 0$

Step 4

Divide each term in $3 (y^{3} - 9) = 0$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 (y^{3} - 9) = 0$ by $3$ .

$\frac{3 (y^{3} - 9)}{3} = \frac{0}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 (y^{3} - 9)}{3} = \frac{0}{3}$

Step 4.2.1.2

Divide $y^{3} - 9$ by $1$ .

$y^{3} - 9 = \frac{0}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $3$ .

$y^{3} - 9 = 0$

Step 5

Add $9$ to both sides of the equation.

$y^{3} = 9$

Step 6

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

$y = \sqrt[3]{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$y = \sqrt[3]{9}$

Decimal Form:

$y = 2.08008382 \dots$