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

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Solution for (5-2x)(x+8)=0 equation: 


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

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

Multiply (5 + -2x) * (8 + x)
(5(8 + x) + -2x * (8 + x)) = 0
((8 * 5 + x * 5) + -2x * (8 + x)) = 0
((40 + 5x) + -2x * (8 + x)) = 0
(40 + 5x + (8 * -2x + x * -2x)) = 0
(40 + 5x + (-16x + -2x2)) = 0

Combine like terms: 5x + -16x = -11x
(40 + -11x + -2x2) = 0

Solving
40 + -11x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(8 + x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

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

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

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

Simplifying
x = -8
Solution
x = {2.5, -8}

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