(-7x+13)(-x-8)=0

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Solution for (-7x+13)(-x-8)=0 equation: 


Simplifying
(-7x + 13)(-1x + -8) = 0

Reorder the terms:
(13 + -7x)(-1x + -8) = 0

Reorder the terms:
(13 + -7x)(-8 + -1x) = 0

Multiply (13 + -7x) * (-8 + -1x)
(13(-8 + -1x) + -7x * (-8 + -1x)) = 0
((-8 * 13 + -1x * 13) + -7x * (-8 + -1x)) = 0
((-104 + -13x) + -7x * (-8 + -1x)) = 0
(-104 + -13x + (-8 * -7x + -1x * -7x)) = 0
(-104 + -13x + (56x + 7x2)) = 0

Combine like terms: -13x + 56x = 43x
(-104 + 43x + 7x2) = 0

Solving
-104 + 43x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(13 + -7x) = 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 '(13 + -7x)' equal to zero and attempt to solve:

Simplifying
13 + -7x = 0

Solving
13 + -7x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -7x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 0 + -13
-7x = 0 + -13

Combine like terms: 0 + -13 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857
Solution
x = {-8, 1.857142857}

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