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

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


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

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

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

Multiply (-5w + -4y) * (2w + 6y)
(-5w * (2w + 6y) + -4y * (2w + 6y)) = 0
((2w * -5w + 6y * -5w) + -4y * (2w + 6y)) = 0

Reorder the terms:
((-30wy + -10w2) + -4y * (2w + 6y)) = 0
((-30wy + -10w2) + -4y * (2w + 6y)) = 0
(-30wy + -10w2 + (2w * -4y + 6y * -4y)) = 0
(-30wy + -10w2 + (-8wy + -24y2)) = 0

Reorder the terms:
(-30wy + -8wy + -10w2 + -24y2) = 0

Combine like terms: -30wy + -8wy = -38wy
(-38wy + -10w2 + -24y2) = 0

Solving
-38wy + -10w2 + -24y2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(19wy + 5w2 + 12y2) = 0

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

Ignore the factor -2.

Subproblem 1
Set the factor '(5w + 4y)' equal to zero and attempt to solve:

Simplifying
5w + 4y = 0

Solving
5w + 4y = 0

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

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

Combine like terms: 4y + -4y = 0
5w + 0 = 0 + -4y
5w = 0 + -4y
Remove the zero:
5w = -4y

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

Simplifying
w = -0.8y

Subproblem 2
Set the factor '(w + 3y)' equal to zero and attempt to solve:

Simplifying
w + 3y = 0

Solving
w + 3y = 0

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

Add '-3y' to each side of the equation.
w + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
w + 0 = 0 + -3y
w = 0 + -3y
Remove the zero:
w = -3y

Simplifying
w = -3y
Solution
w = {-0.8y, -3y}

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