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

Evaluate

(2 x - 1) (3 - 2 x) = 1

Expand the expression

More Steps

8 x - 4 x^{2} - 3 = 1

Move the expression to the left side

8 x - 4 x^{2} - 4 = 0

Use a^{2} - 2 ab + b^{2} = (a - b)^{2} to factor the expression

- 4 (x - 1)^{2} = 0

Divide the terms

(x - 1)^{2} = 0

Simplify the expression

x - 1 = 0

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

x = 0 + 1

Solution

x = 1

Solve the quadratic equation