Solve x-2 = 2-((x-2)^2)

Evaluate

x - 2 = 2 - (x - 2)^{2}

Swap the sides

2 - (x - 2)^{2} = x - 2

Expand the expression

More Steps

- 2 - x^{2} + 4 x = x - 2

Move the expression to the left side

- x^{2} + 3 x = 0

Factor the expression

More Steps

- x (x - 3) = 0

When the product of factors equals 0,at least one factor is 0

x - 3 = 0 - x = 0

Solve the equation for x

More Steps

x = 3 - x = 0

Solve the equation for x

x = 3 x = 0

Solution

x_{1} = 0, x_{2} = 3

Solve the quadratic equation