Solve -a (a b) = -a -b

Evaluate

- a \times ab = - a - b

Multiply the terms

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

Rewrite the expression

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

Move the expression to the left side

- b a^{2} - (- a - b) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- b a^{2} + a + b = 0

Substitute a= - b,b= 1 and c= b into the quadratic formula a = \frac{- b \pm b ^{2} - 4 a c}{2 a}

a = \frac{- 1 \pm 1 ^{2} - 4 ( - b ) b}{2 ( - b )}

Simplify the expression

a = \frac{- 1 \pm 1 ^{2} - 4 ( - b ) b}{- 2 b}

Simplify the expression

More Steps

a = \frac{- 1 \pm 1 + 4 b ^{2}}{- 2 b}

Separate the equation into 2 possible cases

a = \frac{- 1 + 1 + 4 b ^{2}}{- 2 b} a = \frac{- 1 - 1 + 4 b ^{2}}{- 2 b}

Simplify the expression

More Steps

a = \frac{1 - 1 + 4 b ^{2}}{2 b} a = \frac{- 1 - 1 + 4 b ^{2}}{- 2 b}

Solution

a = \frac{1 - 1 + 4 b ^{2}}{2 b} a = \frac{1 + 1 + 4 b ^{2}}{2 b}

Solve the equation