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

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


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

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

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

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

Combine like terms: -5x + 8x = 3x
(8 + 3x + -5x2) = 0

Solving
8 + 3x + -5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

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

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {1.6, -1}

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