(4x-8)(6x+2)=0

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Solution for (4x-8)(6x+2)=0 equation:


Simplifying
(4x + -8)(6x + 2) = 0

Reorder the terms:
(-8 + 4x)(6x + 2) = 0

Reorder the terms:
(-8 + 4x)(2 + 6x) = 0

Multiply (-8 + 4x) * (2 + 6x)
(-8(2 + 6x) + 4x * (2 + 6x)) = 0
((2 * -8 + 6x * -8) + 4x * (2 + 6x)) = 0
((-16 + -48x) + 4x * (2 + 6x)) = 0
(-16 + -48x + (2 * 4x + 6x * 4x)) = 0
(-16 + -48x + (8x + 24x2)) = 0

Combine like terms: -48x + 8x = -40x
(-16 + -40x + 24x2) = 0

Solving
-16 + -40x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + -5x + 3x2) = 0

Factor a trinomial.
8((-1 + -3x)(2 + -1x)) = 0

Ignore the factor 8.

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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-0.3333333333, 2}

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