(2w-3y)(w+5y)=

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Solution for (2w-3y)(w+5y)= equation: 


Simplifying
(2w + -3y)(w + 5y) = 0

Multiply (2w + -3y) * (w + 5y)
(2w * (w + 5y) + -3y * (w + 5y)) = 0
((w * 2w + 5y * 2w) + -3y * (w + 5y)) = 0

Reorder the terms:
((10wy + 2w2) + -3y * (w + 5y)) = 0
((10wy + 2w2) + -3y * (w + 5y)) = 0
(10wy + 2w2 + (w * -3y + 5y * -3y)) = 0
(10wy + 2w2 + (-3wy + -15y2)) = 0

Reorder the terms:
(10wy + -3wy + 2w2 + -15y2) = 0

Combine like terms: 10wy + -3wy = 7wy
(7wy + 2w2 + -15y2) = 0

Solving
7wy + 2w2 + -15y2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(2w + -3y)' equal to zero and attempt to solve:

Simplifying
2w + -3y = 0

Solving
2w + -3y = 0

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

Add '3y' to each side of the equation.
2w + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2w + 0 = 0 + 3y
2w = 0 + 3y
Remove the zero:
2w = 3y

Divide each side by '2'.
w = 1.5y

Simplifying
w = 1.5y

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

Simplifying
w + 5y = 0

Solving
w + 5y = 0

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

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

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

Simplifying
w = -5y
Solution
w = {1.5y, -5y}

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