(7x-6w)*(3x+6y)*(3y+3w)=

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Solution for (7x-6w)*(3x+6y)*(3y+3w)= equation:


Simplifying
(7x + -6w)(3x + 6y)(3y + 3w) = 0

Reorder the terms:
(-6w + 7x)(3x + 6y)(3y + 3w) = 0

Reorder the terms:
(-6w + 7x)(3x + 6y)(3w + 3y) = 0

Multiply (-6w + 7x) * (3x + 6y)
(-6w * (3x + 6y) + 7x * (3x + 6y))(3w + 3y) = 0
((3x * -6w + 6y * -6w) + 7x * (3x + 6y))(3w + 3y) = 0
((-18wx + -36wy) + 7x * (3x + 6y))(3w + 3y) = 0
(-18wx + -36wy + (3x * 7x + 6y * 7x))(3w + 3y) = 0

Reorder the terms:
(-18wx + -36wy + (42xy + 21x2))(3w + 3y) = 0
(-18wx + -36wy + (42xy + 21x2))(3w + 3y) = 0
(-18wx + -36wy + 42xy + 21x2)(3w + 3y) = 0

Multiply (-18wx + -36wy + 42xy + 21x2) * (3w + 3y)
(-18wx * (3w + 3y) + -36wy * (3w + 3y) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0
((3w * -18wx + 3y * -18wx) + -36wy * (3w + 3y) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0

Reorder the terms:
((-54wxy + -54w2x) + -36wy * (3w + 3y) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0
((-54wxy + -54w2x) + -36wy * (3w + 3y) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0
(-54wxy + -54w2x + (3w * -36wy + 3y * -36wy) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0

Reorder the terms:
(-54wxy + -54w2x + (-108wy2 + -108w2y) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0
(-54wxy + -54w2x + (-108wy2 + -108w2y) + 42xy * (3w + 3y) + 21x2 * (3w + 3y)) = 0
(-54wxy + -54w2x + -108wy2 + -108w2y + (3w * 42xy + 3y * 42xy) + 21x2 * (3w + 3y)) = 0
(-54wxy + -54w2x + -108wy2 + -108w2y + (126wxy + 126xy2) + 21x2 * (3w + 3y)) = 0
(-54wxy + -54w2x + -108wy2 + -108w2y + 126wxy + 126xy2 + (3w * 21x2 + 3y * 21x2)) = 0
(-54wxy + -54w2x + -108wy2 + -108w2y + 126wxy + 126xy2 + (63wx2 + 63x2y)) = 0

Reorder the terms:
(-54wxy + 126wxy + 63wx2 + -108wy2 + -54w2x + -108w2y + 126xy2 + 63x2y) = 0

Combine like terms: -54wxy + 126wxy = 72wxy
(72wxy + 63wx2 + -108wy2 + -54w2x + -108w2y + 126xy2 + 63x2y) = 0

Solving
72wxy + 63wx2 + -108wy2 + -54w2x + -108w2y + 126xy2 + 63x2y = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9'.
9(8wxy + 7wx2 + -12wy2 + -6w2x + -12w2y + 14xy2 + 7x2y) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(8wxy + 7wx2 + -12wy2 + -6w2x + -12w2y + 14xy2 + 7x2y)' equal to zero and attempt to solve: Simplifying 8wxy + 7wx2 + -12wy2 + -6w2x + -12w2y + 14xy2 + 7x2y = 0 Solving 8wxy + 7wx2 + -12wy2 + -6w2x + -12w2y + 14xy2 + 7x2y = 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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