Solve (2x + 3)^2=(3x + 2)^2

Evaluate

(2 x + 3)^{2} = (3 x + 2)^{2}

Expand the expression

More Steps

- 5 x^{2} + 5 = 0

Add or subtract both sides

- 5 x^{2} = - 5

Divide both sides

\frac{- 5 x ^{2}}{- 5} = \frac{- 5}{- 5}

Divide the numbers

x^{2} = 1

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

x = \pm 1

Simplify the expression

x = \pm 1

Separate the equation into 2 possible cases

x = 1 x = - 1

Solution

x_{1} = - 1, x_{2} = 1

Solve the quadratic equation