(2x-5y)(7x+6y)=

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Solution for (2x-5y)(7x+6y)= equation: 


Simplifying
(2x + -5y)(7x + 6y) = 0

Multiply (2x + -5y) * (7x + 6y)
(2x * (7x + 6y) + -5y * (7x + 6y)) = 0
((7x * 2x + 6y * 2x) + -5y * (7x + 6y)) = 0

Reorder the terms:
((12xy + 14x2) + -5y * (7x + 6y)) = 0
((12xy + 14x2) + -5y * (7x + 6y)) = 0
(12xy + 14x2 + (7x * -5y + 6y * -5y)) = 0
(12xy + 14x2 + (-35xy + -30y2)) = 0

Reorder the terms:
(12xy + -35xy + 14x2 + -30y2) = 0

Combine like terms: 12xy + -35xy = -23xy
(-23xy + 14x2 + -30y2) = 0

Solving
-23xy + 14x2 + -30y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -5y)(7x + 6y) = 0


Subproblem 1
Set the factor '(2x + -5y)' equal to zero and attempt to solve:

Simplifying
2x + -5y = 0

Solving
2x + -5y = 0

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

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

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

Divide each side by '2'.
x = 2.5y

Simplifying
x = 2.5y

Subproblem 2
Set the factor '(7x + 6y)' equal to zero and attempt to solve:

Simplifying
7x + 6y = 0

Solving
7x + 6y = 0

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

Add '-6y' to each side of the equation.
7x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
7x + 0 = 0 + -6y
7x = 0 + -6y
Remove the zero:
7x = -6y

Divide each side by '7'.
x = -0.8571428571y

Simplifying
x = -0.8571428571y
Solution
x = {2.5y, -0.8571428571y}

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