(2x-56y)(28x+37y)=

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Solution for (2x-56y)(28x+37y)= equation: 


Simplifying
(2x + -56y)(28x + 37y) = 0

Multiply (2x + -56y) * (28x + 37y)
(2x * (28x + 37y) + -56y * (28x + 37y)) = 0
((28x * 2x + 37y * 2x) + -56y * (28x + 37y)) = 0

Reorder the terms:
((74xy + 56x2) + -56y * (28x + 37y)) = 0
((74xy + 56x2) + -56y * (28x + 37y)) = 0
(74xy + 56x2 + (28x * -56y + 37y * -56y)) = 0
(74xy + 56x2 + (-1568xy + -2072y2)) = 0

Reorder the terms:
(74xy + -1568xy + 56x2 + -2072y2) = 0

Combine like terms: 74xy + -1568xy = -1494xy
(-1494xy + 56x2 + -2072y2) = 0

Solving
-1494xy + 56x2 + -2072y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-747xy + 28x2 + -1036y2) = 0

Factor a trinomial.
2((x + -28y)(28x + 37y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(x + -28y)' equal to zero and attempt to solve:

Simplifying
x + -28y = 0

Solving
x + -28y = 0

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

Add '28y' to each side of the equation.
x + -28y + 28y = 0 + 28y

Combine like terms: -28y + 28y = 0
x + 0 = 0 + 28y
x = 0 + 28y
Remove the zero:
x = 28y

Simplifying
x = 28y

Subproblem 2
Set the factor '(28x + 37y)' equal to zero and attempt to solve:

Simplifying
28x + 37y = 0

Solving
28x + 37y = 0

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

Add '-37y' to each side of the equation.
28x + 37y + -37y = 0 + -37y

Combine like terms: 37y + -37y = 0
28x + 0 = 0 + -37y
28x = 0 + -37y
Remove the zero:
28x = -37y

Divide each side by '28'.
x = -1.321428571y

Simplifying
x = -1.321428571y
Solution
x = {28y, -1.321428571y}

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