Solve x a/x-a=b-a/b a

Evaluate

x \times \frac{a}{x} - a = b - \frac{a}{b} \times a

Simplify

More Steps

0 = b - \frac{a}{b} \times a

Multiply the terms

More Steps

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

Swap the sides of the equation

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

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

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

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

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

Rewrite the expression

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

Cross multiply

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

Simplify the equation

- a^{2} = - b^{2}

Change the signs on both sides of the equation

a^{2} = b^{2}

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

a = \pm b^{2}

Simplify the root

a = \pm ∣ b ∣

Remove the absolute value bars

a = \pm b

Solution

a = b a = - b

Solve the equation