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

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


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

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

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

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

Combine like terms: 20x + -8x = 12x
(-32 + 12x + 5x2) = 0

Solving
-32 + 12x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-4, 1.6}

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