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

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


Simplifying
(-1x + 8)(5x + 4) = 0

Reorder the terms:
(8 + -1x)(5x + 4) = 0

Reorder the terms:
(8 + -1x)(4 + 5x) = 0

Multiply (8 + -1x) * (4 + 5x)
(8(4 + 5x) + -1x * (4 + 5x)) = 0
((4 * 8 + 5x * 8) + -1x * (4 + 5x)) = 0
((32 + 40x) + -1x * (4 + 5x)) = 0
(32 + 40x + (4 * -1x + 5x * -1x)) = 0
(32 + 40x + (-4x + -5x2)) = 0

Combine like terms: 40x + -4x = 36x
(32 + 36x + -5x2) = 0

Solving
32 + 36x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -1x)(4 + 5x) = 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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {8, -0.8}

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