x(x+10)-20(x+10)=

Solution for x(x+10)-20(x+10)= equation:

Simplifying
x(x + 10) + -20(x + 10) = 0

Reorder the terms:
x(10 + x) + -20(x + 10) = 0
(10 * x + x * x) + -20(x + 10) = 0
(10x + x2) + -20(x + 10) = 0

Reorder the terms:
10x + x2 + -20(10 + x) = 0
10x + x2 + (10 * -20 + x * -20) = 0
10x + x2 + (-200 + -20x) = 0

Reorder the terms:
-200 + 10x + -20x + x2 = 0

Combine like terms: 10x + -20x = -10x
-200 + -10x + x2 = 0

Solving
-200 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(20 + -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 '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-10, 20}