(5x+2y)(7x-11y)=

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Solution for (5x+2y)(7x-11y)= equation: 


Simplifying
(5x + 2y)(7x + -11y) = 0

Multiply (5x + 2y) * (7x + -11y)
(5x * (7x + -11y) + 2y * (7x + -11y)) = 0
((7x * 5x + -11y * 5x) + 2y * (7x + -11y)) = 0

Reorder the terms:
((-55xy + 35x2) + 2y * (7x + -11y)) = 0
((-55xy + 35x2) + 2y * (7x + -11y)) = 0
(-55xy + 35x2 + (7x * 2y + -11y * 2y)) = 0
(-55xy + 35x2 + (14xy + -22y2)) = 0

Reorder the terms:
(-55xy + 14xy + 35x2 + -22y2) = 0

Combine like terms: -55xy + 14xy = -41xy
(-41xy + 35x2 + -22y2) = 0

Solving
-41xy + 35x2 + -22y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -11y)(5x + 2y) = 0


Subproblem 1
Set the factor '(7x + -11y)' equal to zero and attempt to solve:

Simplifying
7x + -11y = 0

Solving
7x + -11y = 0

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

Add '11y' to each side of the equation.
7x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
7x + 0 = 0 + 11y
7x = 0 + 11y
Remove the zero:
7x = 11y

Divide each side by '7'.
x = 1.571428571y

Simplifying
x = 1.571428571y

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

Simplifying
5x + 2y = 0

Solving
5x + 2y = 0

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

Add '-2y' to each side of the equation.
5x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = 0 + -2y
5x = 0 + -2y
Remove the zero:
5x = -2y

Divide each side by '5'.
x = -0.4y

Simplifying
x = -0.4y
Solution
x = {1.571428571y, -0.4y}

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