Solve x(3-2b)-1=x(2-3b)-b^2

Evaluate

x (3 - 2 b) - 1 = x (2 - 3 b) - b^{2}

Rewrite the expression

(3 - 2 b) x - 1 = (2 - 3 b) x - b^{2}

Move the expression to the left side

(3 - 2 b) x - 1 - (2 - 3 b) x = - b^{2}

Move the expression to the right side

(3 - 2 b) x - (2 - 3 b) x = - b^{2} + 1

Add and subtract

More Steps

(1 + b) x = - b^{2} + 1

Divide both sides

\frac{( 1 + b ) x}{1 + b} = \frac{- b ^{2} + 1}{1 + b}

Divide the numbers

x = \frac{- b ^{2} + 1}{1 + b}

Solution

More Steps

x = - b + 1

Solve the equation