(2x-100)(x+6)=0

Solution for (2x-100)(x+6)=0 equation:

Simplifying
(2x + -100)(x + 6) = 0

Reorder the terms:
(-100 + 2x)(x + 6) = 0

Reorder the terms:
(-100 + 2x)(6 + x) = 0

Multiply (-100 + 2x) * (6 + x)
(-100(6 + x) + 2x * (6 + x)) = 0
((6 * -100 + x * -100) + 2x * (6 + x)) = 0
((-600 + -100x) + 2x * (6 + x)) = 0
(-600 + -100x + (6 * 2x + x * 2x)) = 0
(-600 + -100x + (12x + 2x2)) = 0

Combine like terms: -100x + 12x = -88x
(-600 + -88x + 2x2) = 0

Solving
-600 + -88x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-300 + -44x + x2) = 0

Factor a trinomial.
2((-6 + -1x)(50 + -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 '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {-6, 50}