(2w-6)(5w+4)=

Solution for (2w-6)(5w+4)= equation:

Simplifying
(2w + -6)(5w + 4) = 0

Reorder the terms:
(-6 + 2w)(5w + 4) = 0

Reorder the terms:
(-6 + 2w)(4 + 5w) = 0

Multiply (-6 + 2w) * (4 + 5w)
(-6(4 + 5w) + 2w * (4 + 5w)) = 0
((4 * -6 + 5w * -6) + 2w * (4 + 5w)) = 0
((-24 + -30w) + 2w * (4 + 5w)) = 0
(-24 + -30w + (4 * 2w + 5w * 2w)) = 0
(-24 + -30w + (8w + 10w2)) = 0

Combine like terms: -30w + 8w = -22w
(-24 + -22w + 10w2) = 0

Solving
-24 + -22w + 10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -11w + 5w2) = 0

Factor a trinomial.
2((-4 + -5w)(3 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-0.8, 3}