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

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


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

Reorder the terms:
5x(8 + x) + -2(x + 8) = 0
(8 * 5x + x * 5x) + -2(x + 8) = 0
(40x + 5x2) + -2(x + 8) = 0

Reorder the terms:
40x + 5x2 + -2(8 + x) = 0
40x + 5x2 + (8 * -2 + x * -2) = 0
40x + 5x2 + (-16 + -2x) = 0

Reorder the terms:
-16 + 40x + -2x + 5x2 = 0

Combine like terms: 40x + -2x = 38x
-16 + 38x + 5x2 = 0

Solving
-16 + 38x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(2 + -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 '(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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