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

Solution for 3-2(x-3)=x(x-2) equation:

Simplifying
3 + -2(x + -3) = x(x + -2)

Reorder the terms:
3 + -2(-3 + x) = x(x + -2)
3 + (-3 * -2 + x * -2) = x(x + -2)
3 + (6 + -2x) = x(x + -2)

Combine like terms: 3 + 6 = 9
9 + -2x = x(x + -2)

Reorder the terms:
9 + -2x = x(-2 + x)
9 + -2x = (-2 * x + x * x)
9 + -2x = (-2x + x2)

Add '2x' to each side of the equation.
9 + -2x + 2x = -2x + 2x + x2

Combine like terms: -2x + 2x = 0
9 + 0 = -2x + 2x + x2
9 = -2x + 2x + x2

Combine like terms: -2x + 2x = 0
9 = 0 + x2
9 = x2

Solving
9 = x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
9 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -1x2 = 0

Add '-9' to each side of the equation.
9 + -9 + -1x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x2 = 0 + -9
-1x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}