Algebra Examples

${(6 z + 6)}^{2} = 0$

Step 1

Factor the left side of the equation.

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Step 1.1

Factor $6$ out of $6 z + 6$ .

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Step 1.1.1

Factor $6$ out of $6 z$ .

${(6 (z) + 6)}^{2} = 0$

Step 1.1.2

Factor $6$ out of $6$ .

${(6 (z) + 6 (1))}^{2} = 0$

Step 1.1.3

Factor $6$ out of $6 (z) + 6 (1)$ .

${(6 (z + 1))}^{2} = 0$

Step 1.2

Apply the product rule to $6 (z + 1)$ .

$6^{2} {(z + 1)}^{2} = 0$

Step 2

Divide each term in $6^{2} {(z + 1)}^{2} = 0$ by $6^{2}$ and simplify.

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Step 2.1

Divide each term in $6^{2} {(z + 1)}^{2} = 0$ by $6^{2}$ .

$\frac{6^{2} {(z + 1)}^{2}}{6^{2}} = \frac{0}{6^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6^{2}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6^{2} {(z + 1)}^{2}}{6^{2}} = \frac{0}{6^{2}}$

Step 2.2.1.2

Divide ${(z + 1)}^{2}$ by $1$ .

${(z + 1)}^{2} = \frac{0}{6^{2}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $6$ to the power of $2$ .

${(z + 1)}^{2} = \frac{0}{36}$

Step 2.3.2

Divide $0$ by $36$ .

${(z + 1)}^{2} = 0$

Step 3

Set the $z + 1$ equal to $0$ .

$z + 1 = 0$

Step 4

Subtract $1$ from both sides of the equation.

$z = - 1$