Finite Math Examples

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

Step 1

Multiply ${(x + 1)}^{2}$ by $x + 1$ by adding the exponents.

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Step 1.1

Multiply ${(x + 1)}^{2}$ by $x + 1$ .

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Step 1.1.1

Raise $x + 1$ to the power of $1$ .

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

Step 1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 1.2

Add $2$ and $1$ .

${(x + 1)}^{3} - 6 = 0$

Step 2

Add $6$ to both sides of the equation.

${(x + 1)}^{3} = 6$

Step 3

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

$x + 1 = \sqrt[3]{6}$

Step 4

Subtract $1$ from both sides of the equation.

$x = \sqrt[3]{6} - 1$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{6} - 1$

Decimal Form:

$x = 0.81712059 \dots$