(8w+4w)(5w-6x)=

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Solution for (8w+4w)(5w-6x)= equation: 


Simplifying
(8w + 4w)(5w + -6x) = 0

Combine like terms: 8w + 4w = 12w
(12w)(5w + -6x) = 0

Remove parenthesis around (12w)
12w(5w + -6x) = 0
(5w * 12w + -6x * 12w) = 0

Reorder the terms:
(-72wx + 60w2) = 0
(-72wx + 60w2) = 0

Solving
-72wx + 60w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '12w'.
12w(-6x + 5w) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

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

Simplifying
-6x + 5w = 0

Reorder the terms:
5w + -6x = 0

Solving
5w + -6x = 0

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

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

Combine like terms: -6x + 6x = 0
5w + 0 = 0 + 6x
5w = 0 + 6x
Remove the zero:
5w = 6x

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

Simplifying
w = 1.2x
Solution
w = {0, 1.2x}

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