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

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Solution for (5x+1)(x-8)=0 equation: 


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

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

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

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

Combine like terms: 1x + -40x = -39x
(-8 + -39x + 5x2) = 0

Solving
-8 + -39x + 5x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-1 + -5x = 0

Solving
-1 + -5x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 0 + 1
-5x = 0 + 1

Combine like terms: 0 + 1 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

Subproblem 2
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
Solution
x = {-0.2, 8}

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