(6x^2+2xy-8y^2)(x+7y)=

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Solution for (6x^2+2xy-8y^2)(x+7y)= equation: 


Simplifying
(6x2 + 2xy + -8y2)(x + 7y) = 0

Reorder the terms:
(2xy + 6x2 + -8y2)(x + 7y) = 0

Multiply (2xy + 6x2 + -8y2) * (x + 7y)
(2xy * (x + 7y) + 6x2 * (x + 7y) + -8y2 * (x + 7y)) = 0
((x * 2xy + 7y * 2xy) + 6x2 * (x + 7y) + -8y2 * (x + 7y)) = 0

Reorder the terms:
((14xy2 + 2x2y) + 6x2 * (x + 7y) + -8y2 * (x + 7y)) = 0
((14xy2 + 2x2y) + 6x2 * (x + 7y) + -8y2 * (x + 7y)) = 0
(14xy2 + 2x2y + (x * 6x2 + 7y * 6x2) + -8y2 * (x + 7y)) = 0

Reorder the terms:
(14xy2 + 2x2y + (42x2y + 6x3) + -8y2 * (x + 7y)) = 0
(14xy2 + 2x2y + (42x2y + 6x3) + -8y2 * (x + 7y)) = 0
(14xy2 + 2x2y + 42x2y + 6x3 + (x * -8y2 + 7y * -8y2)) = 0
(14xy2 + 2x2y + 42x2y + 6x3 + (-8xy2 + -56y3)) = 0

Reorder the terms:
(14xy2 + -8xy2 + 2x2y + 42x2y + 6x3 + -56y3) = 0

Combine like terms: 14xy2 + -8xy2 = 6xy2
(6xy2 + 2x2y + 42x2y + 6x3 + -56y3) = 0

Combine like terms: 2x2y + 42x2y = 44x2y
(6xy2 + 44x2y + 6x3 + -56y3) = 0

Solving
6xy2 + 44x2y + 6x3 + -56y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3xy2 + 22x2y + 3x3 + -28y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3xy2 + 22x2y + 3x3 + -28y3)' equal to zero and attempt to solve:

Simplifying
3xy2 + 22x2y + 3x3 + -28y3 = 0

Solving
3xy2 + 22x2y + 3x3 + -28y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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