(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.
(-8 + -1x)(1 + -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 '(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
Solution
x = {-8, 0.2}

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