(-10+-1x)(13+-1x)=0

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Solution for (-10+-1x)(13+-1x)=0 equation: 


Simplifying
(-10 + -1x)(13 + -1x) = 0

Multiply (-10 + -1x) * (13 + -1x)
(-10(13 + -1x) + -1x * (13 + -1x)) = 0
((13 * -10 + -1x * -10) + -1x * (13 + -1x)) = 0
((-130 + 10x) + -1x * (13 + -1x)) = 0
(-130 + 10x + (13 * -1x + -1x * -1x)) = 0
(-130 + 10x + (-13x + 1x2)) = 0

Combine like terms: 10x + -13x = -3x
(-130 + -3x + 1x2) = 0

Solving
-130 + -3x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 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 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-10, 13}

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