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

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

Simplifying
20w2 = 20(5w + -6)

Reorder the terms:
20w2 = 20(-6 + 5w)
20w2 = (-6 * 20 + 5w * 20)
20w2 = (-120 + 100w)

Solving
20w2 = -120 + 100w

Solving for variable 'w'.

Reorder the terms:
120 + -100w + 20w2 = -120 + 100w + 120 + -100w

Reorder the terms:
120 + -100w + 20w2 = -120 + 120 + 100w + -100w

Combine like terms: -120 + 120 = 0
120 + -100w + 20w2 = 0 + 100w + -100w
120 + -100w + 20w2 = 100w + -100w

Combine like terms: 100w + -100w = 0
120 + -100w + 20w2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(6 + -5w + w2) = 0

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

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

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

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

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

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

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