(2+x)(x-10)=

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

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

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

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

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

Solving
-20 + -8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(10 + -1x) = 0

Subproblem 1
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
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 = {-2, 10}