(4x+4)(3x-8)=0

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Solution for (4x+4)(3x-8)=0 equation:


Simplifying
(4x + 4)(3x + -8) = 0

Reorder the terms:
(4 + 4x)(3x + -8) = 0

Reorder the terms:
(4 + 4x)(-8 + 3x) = 0

Multiply (4 + 4x) * (-8 + 3x)
(4(-8 + 3x) + 4x * (-8 + 3x)) = 0
((-8 * 4 + 3x * 4) + 4x * (-8 + 3x)) = 0
((-32 + 12x) + 4x * (-8 + 3x)) = 0
(-32 + 12x + (-8 * 4x + 3x * 4x)) = 0
(-32 + 12x + (-32x + 12x2)) = 0

Combine like terms: 12x + -32x = -20x
(-32 + -20x + 12x2) = 0

Solving
-32 + -20x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -5x + 3x2) = 0

Factor a trinomial.
4((-1 + -1x)(8 + -3x)) = 0

Ignore the factor 4.

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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-1, 2.666666667}

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