(x+10)(x-2)=0

Solution for (x+10)(x-2)=0 equation:

Simplifying
(x + 10)(x + -2) = 0

Reorder the terms:
(10 + x)(x + -2) = 0

Reorder the terms:
(10 + x)(-2 + x) = 0

Multiply (10 + x) * (-2 + x)
(10(-2 + x) + x(-2 + x)) = 0
((-2 * 10 + x * 10) + x(-2 + x)) = 0
((-20 + 10x) + x(-2 + x)) = 0
(-20 + 10x + (-2 * x + x * x)) = 0
(-20 + 10x + (-2x + x2)) = 0

Combine like terms: 10x + -2x = 8x
(-20 + 8x + x2) = 0

Solving
-20 + 8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-10, 2}