20x^2=20(5x-6)

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

Simplifying
20x2 = 20(5x + -6)

Reorder the terms:
20x2 = 20(-6 + 5x)
20x2 = (-6 * 20 + 5x * 20)
20x2 = (-120 + 100x)

Solving
20x2 = -120 + 100x

Solving for variable 'x'.

Reorder the terms:
120 + -100x + 20x2 = -120 + 100x + 120 + -100x

Reorder the terms:
120 + -100x + 20x2 = -120 + 120 + 100x + -100x

Combine like terms: -120 + 120 = 0
120 + -100x + 20x2 = 0 + 100x + -100x
120 + -100x + 20x2 = 100x + -100x

Combine like terms: 100x + -100x = 0
120 + -100x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(6 + -5x + x2) = 0

Factor a trinomial.
20((2 + -1x)(3 + -1x)) = 0

Ignore the factor 20.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {2, 3}