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

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


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

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

Reorder the terms:
((-35xy + 10x2) + -11y * (2x + -7y)) = 0
((-35xy + 10x2) + -11y * (2x + -7y)) = 0
(-35xy + 10x2 + (2x * -11y + -7y * -11y)) = 0
(-35xy + 10x2 + (-22xy + 77y2)) = 0

Reorder the terms:
(-35xy + -22xy + 10x2 + 77y2) = 0

Combine like terms: -35xy + -22xy = -57xy
(-57xy + 10x2 + 77y2) = 0

Solving
-57xy + 10x2 + 77y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2x + -7y)' equal to zero and attempt to solve:

Simplifying
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y

Subproblem 2
Set the factor '(5x + -11y)' equal to zero and attempt to solve:

Simplifying
5x + -11y = 0

Solving
5x + -11y = 0

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

Add '11y' to each side of the equation.
5x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
5x + 0 = 0 + 11y
5x = 0 + 11y
Remove the zero:
5x = 11y

Divide each side by '5'.
x = 2.2y

Simplifying
x = 2.2y
Solution
x = {3.5y, 2.2y}

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