7X^3(X-6)-63XY^2(X-6)=

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Solution for 7X^3(X-6)-63XY^2(X-6)= equation: 


Simplifying
7X3(X + -6) + -63XY2(X + -6) = 0

Reorder the terms:
7X3(-6 + X) + -63XY2(X + -6) = 0
(-6 * 7X3 + X * 7X3) + -63XY2(X + -6) = 0
(-42X3 + 7X4) + -63XY2(X + -6) = 0

Reorder the terms:
-42X3 + 7X4 + -63XY2(-6 + X) = 0
-42X3 + 7X4 + (-6 * -63XY2 + X * -63XY2) = 0
-42X3 + 7X4 + (378XY2 + -63X2Y2) = 0

Reorder the terms:
378XY2 + -63X2Y2 + -42X3 + 7X4 = 0

Solving
378XY2 + -63X2Y2 + -42X3 + 7X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '7X'.
7X(54Y2 + -9XY2 + -6X2 + X3) = 0

Ignore the factor 7.

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 '(54Y2 + -9XY2 + -6X2 + X3)' equal to zero and attempt to solve:

Simplifying
54Y2 + -9XY2 + -6X2 + X3 = 0

Reorder the terms:
-9XY2 + -6X2 + X3 + 54Y2 = 0

Solving
-9XY2 + -6X2 + X3 + 54Y2 = 0

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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