0=2(-x+100)(x+60)

Solution for 0=2(-x+100)(x+60) equation:

Simplifying
0 = 2(-1x + 100)(x + 60)

Reorder the terms:
0 = 2(100 + -1x)(x + 60)

Reorder the terms:
0 = 2(100 + -1x)(60 + x)

Multiply (100 + -1x) * (60 + x)
0 = 2(100(60 + x) + -1x * (60 + x))
0 = 2((60 * 100 + x * 100) + -1x * (60 + x))
0 = 2((6000 + 100x) + -1x * (60 + x))
0 = 2(6000 + 100x + (60 * -1x + x * -1x))
0 = 2(6000 + 100x + (-60x + -1x2))

Combine like terms: 100x + -60x = 40x
0 = 2(6000 + 40x + -1x2)
0 = (6000 * 2 + 40x * 2 + -1x2 * 2)
0 = (12000 + 80x + -2x2)

Solving
0 = 12000 + 80x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + -12000 = -12000
-12000 + -80x + 2x2 = 12000 + 80x + -2x2 + -12000 + -80x + 2x2

Reorder the terms:
-12000 + -80x + 2x2 = 12000 + -12000 + 80x + -80x + -2x2 + 2x2

Combine like terms: 12000 + -12000 = 0
-12000 + -80x + 2x2 = 0 + 80x + -80x + -2x2 + 2x2
-12000 + -80x + 2x2 = 80x + -80x + -2x2 + 2x2

Combine like terms: 80x + -80x = 0
-12000 + -80x + 2x2 = 0 + -2x2 + 2x2
-12000 + -80x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-12000 + -80x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6000 + -40x + x2) = 0

Factor a trinomial.
2((-60 + -1x)(100 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Solution
x = {-60, 100}