-10=5w(2w-4)

Solution for -10=5w(2w-4) equation:

Simplifying
-10 = 5w(2w + -4)

Reorder the terms:
-10 = 5w(-4 + 2w)
-10 = (-4 * 5w + 2w * 5w)
-10 = (-20w + 10w2)

Solving
-10 = -20w + 10w2

Solving for variable 'w'.

Reorder the terms:
-10 + 20w + -10w2 = -20w + 20w + 10w2 + -10w2

Combine like terms: -20w + 20w = 0
-10 + 20w + -10w2 = 0 + 10w2 + -10w2
-10 + 20w + -10w2 = 10w2 + -10w2

Combine like terms: 10w2 + -10w2 = 0
-10 + 20w + -10w2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-1 + 2w + -1w2) = 0

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

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

Simplifying
-1 + w = 0

Solving
-1 + w = 0

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

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

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

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

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Solution
w = {1, 1}