(-4x+5)(2x+8)=

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Solution for (-4x+5)(2x+8)= equation:


Simplifying
(-4x + 5)(2x + 8) = 0

Reorder the terms:
(5 + -4x)(2x + 8) = 0

Reorder the terms:
(5 + -4x)(8 + 2x) = 0

Multiply (5 + -4x) * (8 + 2x)
(5(8 + 2x) + -4x * (8 + 2x)) = 0
((8 * 5 + 2x * 5) + -4x * (8 + 2x)) = 0
((40 + 10x) + -4x * (8 + 2x)) = 0
(40 + 10x + (8 * -4x + 2x * -4x)) = 0
(40 + 10x + (-32x + -8x2)) = 0

Combine like terms: 10x + -32x = -22x
(40 + -22x + -8x2) = 0

Solving
40 + -22x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -11x + -4x2) = 0

Factor a trinomial.
2((5 + -4x)(4 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {1.25, -4}

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