Solve 4x^2 8x-96 - ScanMath

Question

Simplify the expression

32 x^{3} - 96

Evaluate

4 x^{2} \times 8 x - 96

Solution

More Steps

Evaluate

4 x^{2} \times 8 x

Multiply the terms

32 x^{2} \times x

Multiply the terms with the same base by adding their exponents

32 x^{2 + 1}

Add the numbers

32 x^{3}

32 x^{3} - 96

Show Solution

32 (x^{3} - 3)

Evaluate

4 x^{2} \times 8 x - 96

Multiply

More Steps

Evaluate

4 x^{2} \times 8 x

Multiply the terms

32 x^{2} \times x

Multiply the terms with the same base by adding their exponents

32 x^{2 + 1}

Add the numbers

32 x^{3}

32 x^{3} - 96

Solution

32 (x^{3} - 3)

Show Solution

x = 33

Alternative Form

x \approx 1.44225

Evaluate

4 x^{2} \times 8 x - 96

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

4 x^{2} \times 8 x - 96 = 0

Multiply

More Steps

Multiply the terms

4 x^{2} \times 8 x

Multiply the terms

32 x^{2} \times x

Multiply the terms with the same base by adding their exponents

32 x^{2 + 1}

Add the numbers

32 x^{3}

32 x^{3} - 96 = 0

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

32 x^{3} = 0 + 96

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

32 x^{3} = 96

Divide both sides

\frac{32 x ^{3}}{32} = \frac{96}{32}

Divide the numbers

x^{3} = \frac{96}{32}

Divide the numbers

More Steps

Evaluate

\frac{96}{32}

Reduce the numbers

\frac{3}{1}

Calculate

3

x^{3} = 3

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

3 x^{3} = 33

Solution

x = 33

Alternative Form

x \approx 1.44225

Show Solution