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

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


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

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

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

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

Combine like terms: 2x + 40x = 42x
(16 + 42x + 5x2) = 0

Solving
16 + 42x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-8, -0.4}

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