Solve x^23x -180 - ScanMath

Question

Simplify the expression

3 x^{3} - 180

Evaluate

x^{2} \times 3 x - 180

Solution

More Steps

Evaluate

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 180

Show Solution

3 (x^{3} - 60)

Evaluate

x^{2} \times 3 x - 180

Multiply

More Steps

Evaluate

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 180

Solution

3 (x^{3} - 60)

Show Solution

x = 360

Alternative Form

x \approx 3.914868

Evaluate

x^{2} \times 3 x - 180

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

x^{2} \times 3 x - 180 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 3

Add the numbers

x^{3} \times 3

Use the commutative property to reorder the terms

3 x^{3}

3 x^{3} - 180 = 0

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

3 x^{3} = 0 + 180

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

3 x^{3} = 180

Divide both sides

\frac{3 x ^{3}}{3} = \frac{180}{3}

Divide the numbers

x^{3} = \frac{180}{3}

Divide the numbers

More Steps

Evaluate

\frac{180}{3}

Reduce the numbers

\frac{60}{1}

Calculate

60

x^{3} = 60

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

3 x^{3} = 360

Solution

x = 360

Alternative Form

x \approx 3.914868

Show Solution