(3x-3)(4x+2)=

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Solution for (3x-3)(4x+2)= equation:


Simplifying
(3x + -3)(4x + 2) = 0

Reorder the terms:
(-3 + 3x)(4x + 2) = 0

Reorder the terms:
(-3 + 3x)(2 + 4x) = 0

Multiply (-3 + 3x) * (2 + 4x)
(-3(2 + 4x) + 3x * (2 + 4x)) = 0
((2 * -3 + 4x * -3) + 3x * (2 + 4x)) = 0
((-6 + -12x) + 3x * (2 + 4x)) = 0
(-6 + -12x + (2 * 3x + 4x * 3x)) = 0
(-6 + -12x + (6x + 12x2)) = 0

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

Solving
-6 + -6x + 12x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
6((-1 + -2x)(1 + -1x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

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 = {-0.5, 1}

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