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

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Solution for (8+x)(4x-5)=0 equation: 


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

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

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

Combine like terms: 32x + -5x = 27x
(-40 + 27x + 4x2) = 0

Solving
-40 + 27x + 4x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, 1.25}

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