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

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


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

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

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

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

Combine like terms: 6x + -12x = -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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