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

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


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

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

Reorder the terms:
((10xy + 12x2) + 7y * (6x + 5y)) = 0
((10xy + 12x2) + 7y * (6x + 5y)) = 0
(10xy + 12x2 + (6x * 7y + 5y * 7y)) = 0
(10xy + 12x2 + (42xy + 35y2)) = 0

Reorder the terms:
(10xy + 42xy + 12x2 + 35y2) = 0

Combine like terms: 10xy + 42xy = 52xy
(52xy + 12x2 + 35y2) = 0

Solving
52xy + 12x2 + 35y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(6x + 5y)' equal to zero and attempt to solve:

Simplifying
6x + 5y = 0

Solving
6x + 5y = 0

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

Add '-5y' to each side of the equation.
6x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
6x + 0 = 0 + -5y
6x = 0 + -5y
Remove the zero:
6x = -5y

Divide each side by '6'.
x = -0.8333333333y

Simplifying
x = -0.8333333333y

Subproblem 2
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
Solution
x = {-0.8333333333y, -3.5y}

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