Solve x^218x -72 - ScanMath

Question

Simplify the expression

18 x^{3} - 72

Evaluate

x^{2} \times 18 x - 72

Solution

More Steps

Evaluate

x^{2} \times 18 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 18

Add the numbers

x^{3} \times 18

Use the commutative property to reorder the terms

18 x^{3}

18 x^{3} - 72

Show Solution

18 (x^{3} - 4)

Evaluate

x^{2} \times 18 x - 72

Multiply

More Steps

Evaluate

x^{2} \times 18 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 18

Add the numbers

x^{3} \times 18

Use the commutative property to reorder the terms

18 x^{3}

18 x^{3} - 72

Solution

18 (x^{3} - 4)

Show Solution

x = 34

Alternative Form

x \approx 1.587401

Evaluate

x^{2} \times 18 x - 72

To find the roots of the expression,set the expression equal to 0

x^{2} \times 18 x - 72 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 18 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 18

Add the numbers

x^{3} \times 18

Use the commutative property to reorder the terms

18 x^{3}

18 x^{3} - 72 = 0

Move the constant to the right-hand side and change its sign

18 x^{3} = 0 + 72

Removing 0 doesn't change the value,so remove it from the expression

18 x^{3} = 72

Divide both sides

\frac{18 x ^{3}}{18} = \frac{72}{18}

Divide the numbers

x^{3} = \frac{72}{18}

Divide the numbers

More Steps

Evaluate

\frac{72}{18}

Reduce the numbers

\frac{4}{1}

Calculate

4

x^{3} = 4

Take the 3 -th root on both sides of the equation

3 x^{3} = 34

Solution

x = 34

Alternative Form

x \approx 1.587401

Show Solution