2(x-10)(x+6)=0

Solution for 2(x-10)(x+6)=0 equation:

Simplifying
2(x + -10)(x + 6) = 0

Reorder the terms:
2(-10 + x)(x + 6) = 0

Reorder the terms:
2(-10 + x)(6 + x) = 0

Multiply (-10 + x) * (6 + x)
2(-10(6 + x) + x(6 + x)) = 0
2((6 * -10 + x * -10) + x(6 + x)) = 0
2((-60 + -10x) + x(6 + x)) = 0
2(-60 + -10x + (6 * x + x * x)) = 0
2(-60 + -10x + (6x + x2)) = 0

Combine like terms: -10x + 6x = -4x
2(-60 + -4x + x2) = 0
(-60 * 2 + -4x * 2 + x2 * 2) = 0
(-120 + -8x + 2x2) = 0

Solving
-120 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + -4x + x2) = 0

Factor a trinomial.
2((-6 + -1x)(10 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
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 = {-6, 10}