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

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


Simplifying
(3x + -3)(2x + -2) = 0

Reorder the terms:
(-3 + 3x)(2x + -2) = 0

Reorder the terms:
(-3 + 3x)(-2 + 2x) = 0

Multiply (-3 + 3x) * (-2 + 2x)
(-3(-2 + 2x) + 3x * (-2 + 2x)) = 0
((-2 * -3 + 2x * -3) + 3x * (-2 + 2x)) = 0
((6 + -6x) + 3x * (-2 + 2x)) = 0
(6 + -6x + (-2 * 3x + 2x * 3x)) = 0
(6 + -6x + (-6x + 6x2)) = 0

Combine like terms: -6x + -6x = -12x
(6 + -12x + 6x2) = 0

Solving
6 + -12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -2x + x2) = 0

Factor a trinomial.
6((1 + -1x)(1 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

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

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, 1}

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