2x^2-20x=150

Solution for 2x^2-20x=150 equation:

Simplifying
2x2 + -20x = 150

Reorder the terms:
-20x + 2x2 = 150

Solving
-20x + 2x2 = 150

Solving for variable 'x'.

Reorder the terms:
-150 + -20x + 2x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + -20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-75 + -10x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(15 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-5, 15}