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

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

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

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

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

Multiply (-4 + 5w) * (6 + 6w)
(-4(6 + 6w) + 5w * (6 + 6w)) = 0
((6 * -4 + 6w * -4) + 5w * (6 + 6w)) = 0
((-24 + -24w) + 5w * (6 + 6w)) = 0
(-24 + -24w + (6 * 5w + 6w * 5w)) = 0
(-24 + -24w + (30w + 30w2)) = 0

Combine like terms: -24w + 30w = 6w
(-24 + 6w + 30w2) = 0

Solving
-24 + 6w + 30w2 = 0

Solving for variable 'w'.

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

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

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -5w)' equal to zero and attempt to solve:

Simplifying
4 + -5w = 0

Solving
4 + -5w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5w = 0 + -4
-5w = 0 + -4

Combine like terms: 0 + -4 = -4
-5w = -4

Divide each side by '-5'.
w = 0.8

Simplifying
w = 0.8
Solution
w = {-1, 0.8}