Solve x^24x-60 - ScanMath

Question

Simplify the expression

4 x^{3} - 60

Evaluate

x^{2} \times 4 x - 60

Solution

More Steps

Evaluate

x^{2} \times 4 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 4

Add the numbers

x^{3} \times 4

Use the commutative property to reorder the terms

4 x^{3}

4 x^{3} - 60

Show Solution

4 (x^{3} - 15)

Evaluate

x^{2} \times 4 x - 60

Multiply

More Steps

Evaluate

x^{2} \times 4 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 4

Add the numbers

x^{3} \times 4

Use the commutative property to reorder the terms

4 x^{3}

4 x^{3} - 60

Solution

4 (x^{3} - 15)

Show Solution

x = 315

Alternative Form

x \approx 2.466212

Evaluate

x^{2} \times 4 x - 60

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

x^{2} \times 4 x - 60 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 4 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 4

Add the numbers

x^{3} \times 4

Use the commutative property to reorder the terms

4 x^{3}

4 x^{3} - 60 = 0

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

4 x^{3} = 0 + 60

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

4 x^{3} = 60

Divide both sides

\frac{4 x ^{3}}{4} = \frac{60}{4}

Divide the numbers

x^{3} = \frac{60}{4}

Divide the numbers

More Steps

Evaluate

\frac{60}{4}

Reduce the numbers

\frac{15}{1}

Calculate

15

x^{3} = 15

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

3 x^{3} = 315

Solution

x = 315

Alternative Form

x \approx 2.466212

Show Solution