Solve 16(a-x/a x)^3=a x/a-x

Evaluate

16 (a - \frac{x}{a} \times x)^{3} = a \times \frac{x}{a} - x

Multiply the terms

More Steps

16 (a - \frac{x ^{2}}{a})^{3} = a \times \frac{x}{a} - x

Simplify

More Steps

16 (a - \frac{x ^{2}}{a})^{3} = 0

Rewrite the expression

(a - \frac{x ^{2}}{a})^{3} = 0

The only way a power can be 0 is when the base equals 0

a - \frac{x ^{2}}{a} = 0

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

- \frac{x ^{2}}{a} = 0 - a

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

- \frac{x ^{2}}{a} = - a

Rewrite the expression

\frac{- x ^{2}}{a} = - a

Cross multiply

- x^{2} = a (- a)

Simplify the equation

- x^{2} = - a^{2}

Change the signs on both sides of the equation

x^{2} = a^{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm a^{2}

Simplify the root

x = \pm ∣ a ∣

Remove the absolute value bars

x = \pm a

Solution

x = a x = - a

Solve the equation