(4x+3)(2x-8)=

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Solution for (4x+3)(2x-8)= equation:


Simplifying
(4x + 3)(2x + -8) = 0

Reorder the terms:
(3 + 4x)(2x + -8) = 0

Reorder the terms:
(3 + 4x)(-8 + 2x) = 0

Multiply (3 + 4x) * (-8 + 2x)
(3(-8 + 2x) + 4x * (-8 + 2x)) = 0
((-8 * 3 + 2x * 3) + 4x * (-8 + 2x)) = 0
((-24 + 6x) + 4x * (-8 + 2x)) = 0
(-24 + 6x + (-8 * 4x + 2x * 4x)) = 0
(-24 + 6x + (-32x + 8x2)) = 0

Combine like terms: 6x + -32x = -26x
(-24 + -26x + 8x2) = 0

Solving
-24 + -26x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -13x + 4x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-0.75, 4}

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