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

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


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

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

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

Multiply (4 + 4x) * (8 + -5x)
(4(8 + -5x) + 4x * (8 + -5x)) = 0
((8 * 4 + -5x * 4) + 4x * (8 + -5x)) = 0
((32 + -20x) + 4x * (8 + -5x)) = 0
(32 + -20x + (8 * 4x + -5x * 4x)) = 0
(32 + -20x + (32x + -20x2)) = 0

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

Solving
32 + 12x + -20x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
4((8 + -5x)(1 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {1.6, -1}

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