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

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


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

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

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

Multiply (-4 + 8x) * (3 + x)
(-4(3 + x) + 8x * (3 + x)) = 0
((3 * -4 + x * -4) + 8x * (3 + x)) = 0
((-12 + -4x) + 8x * (3 + x)) = 0
(-12 + -4x + (3 * 8x + x * 8x)) = 0
(-12 + -4x + (24x + 8x2)) = 0

Combine like terms: -4x + 24x = 20x
(-12 + 20x + 8x2) = 0

Solving
-12 + 20x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 5x + 2x2) = 0

Factor a trinomial.
4((-3 + -1x)(1 + -2x)) = 0

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-3, 0.5}

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