(x-10)(x+8)=0

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Solution for (x-10)(x+8)=0 equation: 


Simplifying
(x + -10)(x + 8) = 0

Reorder the terms:
(-10 + x)(x + 8) = 0

Reorder the terms:
(-10 + x)(8 + x) = 0

Multiply (-10 + x) * (8 + x)
(-10(8 + x) + x(8 + x)) = 0
((8 * -10 + x * -10) + x(8 + x)) = 0
((-80 + -10x) + x(8 + x)) = 0
(-80 + -10x + (8 * x + x * x)) = 0
(-80 + -10x + (8x + x2)) = 0

Combine like terms: -10x + 8x = -2x
(-80 + -2x + x2) = 0

Solving
-80 + -2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(10 + -1x) = 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 '(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
Solution
x = {-8, 10}

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