2(x+2)(x-11)=

Solution for 2(x+2)(x-11)= equation:

Simplifying
2(x + 2)(x + -11) = 0

Reorder the terms:
2(2 + x)(x + -11) = 0

Reorder the terms:
2(2 + x)(-11 + x) = 0

Multiply (2 + x) * (-11 + x)
2(2(-11 + x) + x(-11 + x)) = 0
2((-11 * 2 + x * 2) + x(-11 + x)) = 0
2((-22 + 2x) + x(-11 + x)) = 0
2(-22 + 2x + (-11 * x + x * x)) = 0
2(-22 + 2x + (-11x + x2)) = 0

Combine like terms: 2x + -11x = -9x
2(-22 + -9x + x2) = 0
(-22 * 2 + -9x * 2 + x2 * 2) = 0
(-44 + -18x + 2x2) = 0

Solving
-44 + -18x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + -9x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(11 + -1x)) = 0

Ignore the factor 2.
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 '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-2, 11}