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

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


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

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

Reorder the terms:
((-10wy + 5w2) + -3y * (w + -2y)) = 0
((-10wy + 5w2) + -3y * (w + -2y)) = 0
(-10wy + 5w2 + (w * -3y + -2y * -3y)) = 0
(-10wy + 5w2 + (-3wy + 6y2)) = 0

Reorder the terms:
(-10wy + -3wy + 5w2 + 6y2) = 0

Combine like terms: -10wy + -3wy = -13wy
(-13wy + 5w2 + 6y2) = 0

Solving
-13wy + 5w2 + 6y2 = 0

Solving for variable 'w'.

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


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

Simplifying
w + -2y = 0

Solving
w + -2y = 0

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

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

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

Simplifying
w = 2y

Subproblem 2
Set the factor '(5w + -3y)' equal to zero and attempt to solve:

Simplifying
5w + -3y = 0

Solving
5w + -3y = 0

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

Add '3y' to each side of the equation.
5w + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
5w + 0 = 0 + 3y
5w = 0 + 3y
Remove the zero:
5w = 3y

Divide each side by '5'.
w = 0.6y

Simplifying
w = 0.6y
Solution
w = {2y, 0.6y}

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