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

Solution for 2x(x-1)=-3*(x-1) equation:

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

Reorder the terms:
2x(-1 + x) = -3(x + -1)
(-1 * 2x + x * 2x) = -3(x + -1)
(-2x + 2x2) = -3(x + -1)

Reorder the terms:
-2x + 2x2 = -3(-1 + x)
-2x + 2x2 = (-1 * -3 + x * -3)
-2x + 2x2 = (3 + -3x)

Solving
-2x + 2x2 = 3 + -3x

Solving for variable 'x'.

Reorder the terms:
-3 + -2x + 3x + 2x2 = 3 + -3x + -3 + 3x

Combine like terms: -2x + 3x = 1x
-3 + 1x + 2x2 = 3 + -3x + -3 + 3x

Reorder the terms:
-3 + 1x + 2x2 = 3 + -3 + -3x + 3x

Combine like terms: 3 + -3 = 0
-3 + 1x + 2x2 = 0 + -3x + 3x
-3 + 1x + 2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 1x + 2x2 = 0

Factor a trinomial.
(-3 + -2x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1.5, 1}