Solve 64-16x x^2 - ScanMath

Question

Simplify the expression

64 - 16 x^{3}

Evaluate

64 - 16 x \times x^{2}

Solution

More Steps

Evaluate

16 x \times x^{2}

Multiply the terms with the same base by adding their exponents

16 x^{1 + 2}

Add the numbers

16 x^{3}

64 - 16 x^{3}

Show Solution

16 (4 - x^{3})

Evaluate

64 - 16 x \times x^{2}

Multiply

More Steps

Evaluate

16 x \times x^{2}

Multiply the terms with the same base by adding their exponents

16 x^{1 + 2}

Add the numbers

16 x^{3}

64 - 16 x^{3}

Solution

16 (4 - x^{3})

Show Solution

x = 34

Alternative Form

x \approx 1.587401

Evaluate

64 - 16 x \times x^{2}

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

64 - 16 x \times x^{2} = 0

Multiply

More Steps

Multiply the terms

16 x \times x^{2}

Multiply the terms with the same base by adding their exponents

16 x^{1 + 2}

Add the numbers

16 x^{3}

64 - 16 x^{3} = 0

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

- 16 x^{3} = 0 - 64

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

- 16 x^{3} = - 64

Change the signs on both sides of the equation

16 x^{3} = 64

Divide both sides

\frac{16 x ^{3}}{16} = \frac{64}{16}

Divide the numbers

x^{3} = \frac{64}{16}

Divide the numbers

More Steps

Evaluate

\frac{64}{16}

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