(6x+2)(2x-6)=0

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Solution for (6x+2)(2x-6)=0 equation:


Simplifying
(6x + 2)(2x + -6) = 0

Reorder the terms:
(2 + 6x)(2x + -6) = 0

Reorder the terms:
(2 + 6x)(-6 + 2x) = 0

Multiply (2 + 6x) * (-6 + 2x)
(2(-6 + 2x) + 6x * (-6 + 2x)) = 0
((-6 * 2 + 2x * 2) + 6x * (-6 + 2x)) = 0
((-12 + 4x) + 6x * (-6 + 2x)) = 0
(-12 + 4x + (-6 * 6x + 2x * 6x)) = 0
(-12 + 4x + (-36x + 12x2)) = 0

Combine like terms: 4x + -36x = -32x
(-12 + -32x + 12x2) = 0

Solving
-12 + -32x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -8x + 3x2) = 0

Factor a trinomial.
4((-1 + -3x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-0.3333333333, 3}

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