-20x(x-6)=160

Solution for -20x(x-6)=160 equation:

Simplifying
-20x(x + -6) = 160

Reorder the terms:
-20x(-6 + x) = 160
(-6 * -20x + x * -20x) = 160
(120x + -20x2) = 160

Solving
120x + -20x2 = 160

Solving for variable 'x'.

Reorder the terms:
-160 + 120x + -20x2 = 160 + -160

Combine like terms: 160 + -160 = 0
-160 + 120x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-8 + 6x + -1x2) = 0

Factor a trinomial.
20((-4 + x)(2 + -1x)) = 0

Ignore the factor 20.
Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Subproblem 2
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
Solution
x = {4, 2}