(4w-4)(5w+6)=

Solution for (4w-4)(5w+6)= equation:

Simplifying
(4w + -4)(5w + 6) = 0

Reorder the terms:
(-4 + 4w)(5w + 6) = 0

Reorder the terms:
(-4 + 4w)(6 + 5w) = 0

Multiply (-4 + 4w) * (6 + 5w)
(-4(6 + 5w) + 4w * (6 + 5w)) = 0
((6 * -4 + 5w * -4) + 4w * (6 + 5w)) = 0
((-24 + -20w) + 4w * (6 + 5w)) = 0
(-24 + -20w + (6 * 4w + 5w * 4w)) = 0
(-24 + -20w + (24w + 20w2)) = 0

Combine like terms: -20w + 24w = 4w
(-24 + 4w + 20w2) = 0

Solving
-24 + 4w + 20w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + w + 5w2) = 0

Factor a trinomial.
4((-6 + -5w)(1 + -1w)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -5w)' equal to zero and attempt to solve:

Simplifying
-6 + -5w = 0

Solving
-6 + -5w = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5w = 0 + 6
-5w = 0 + 6

Combine like terms: 0 + 6 = 6
-5w = 6

Divide each side by '-5'.
w = -1.2

Simplifying
w = -1.2
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 = {-1.2, 1}