Solve x^2 4x - 48

Question

Simplify the expression

4 x^{3} - 48

Evaluate

x^{2} \times 4 x - 48

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} - 48

Show Solution

4 (x^{3} - 12)

Evaluate

x^{2} \times 4 x - 48

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} - 48

Solution

4 (x^{3} - 12)

Show Solution

x = 312

Alternative Form

x \approx 2.289428

Evaluate

x^{2} \times 4 x - 48

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

x^{2} \times 4 x - 48 = 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} - 48 = 0

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

4 x^{3} = 0 + 48

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

4 x^{3} = 48

Divide both sides

\frac{4 x ^{3}}{4} = \frac{48}{4}

Divide the numbers

x^{3} = \frac{48}{4}

Divide the numbers

More Steps

Evaluate

\frac{48}{4}

Reduce the numbers

\frac{12}{1}

Calculate

12

x^{3} = 12

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

3 x^{3} = 312

Solution

x = 312

Alternative Form

x \approx 2.289428

Show Solution