5x(2x-6)=-20

Solution for 5x(2x-6)=-20 equation:

Simplifying
5x(2x + -6) = -20

Reorder the terms:
5x(-6 + 2x) = -20
(-6 * 5x + 2x * 5x) = -20
(-30x + 10x2) = -20

Solving
-30x + 10x2 = -20

Solving for variable 'x'.

Reorder the terms:
20 + -30x + 10x2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + -30x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + -3x + x2) = 0

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

Ignore the factor 10.
Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
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 = {1, 2}