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

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


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

Reorder the terms:
(7x + 6xy)(2x + 5y) = 0

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

Reorder the terms:
((35xy + 14x2) + 6xy * (2x + 5y)) = 0
((35xy + 14x2) + 6xy * (2x + 5y)) = 0
(35xy + 14x2 + (2x * 6xy + 5y * 6xy)) = 0

Reorder the terms:
(35xy + 14x2 + (30xy2 + 12x2y)) = 0
(35xy + 14x2 + (30xy2 + 12x2y)) = 0

Reorder the terms:
(35xy + 30xy2 + 14x2 + 12x2y) = 0
(35xy + 30xy2 + 14x2 + 12x2y) = 0

Solving
35xy + 30xy2 + 14x2 + 12x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35y + 30y2 + 14x + 12xy) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(35y + 30y2 + 14x + 12xy)' equal to zero and attempt to solve:

Simplifying
35y + 30y2 + 14x + 12xy = 0

Reorder the terms:
14x + 12xy + 35y + 30y2 = 0

Solving
14x + 12xy + 35y + 30y2 = 0

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

Add '-35y' to each side of the equation.
14x + 12xy + 35y + -35y + 30y2 = 0 + -35y

Combine like terms: 35y + -35y = 0
14x + 12xy + 0 + 30y2 = 0 + -35y
14x + 12xy + 30y2 = 0 + -35y
Remove the zero:
14x + 12xy + 30y2 = -35y

Add '-30y2' to each side of the equation.
14x + 12xy + 30y2 + -30y2 = -35y + -30y2

Combine like terms: 30y2 + -30y2 = 0
14x + 12xy + 0 = -35y + -30y2
14x + 12xy = -35y + -30y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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