4x^2(x^2+6xy-7y^2)=x

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Solution for 4x^2(x^2+6xy-7y^2)=x equation: 


Simplifying
4x2(x2 + 6xy + -7y2) = x

Reorder the terms:
4x2(6xy + x2 + -7y2) = x
(6xy * 4x2 + x2 * 4x2 + -7y2 * 4x2) = x

Reorder the terms:
(-28x2y2 + 24x3y + 4x4) = x
(-28x2y2 + 24x3y + 4x4) = x

Solving
-28x2y2 + 24x3y + 4x4 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -28x2y2 + 24x3y + 4x4 = x + -1x

Combine like terms: x + -1x = 0
-1x + -28x2y2 + 24x3y + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + -28xy2 + 24x2y + 4x3) = 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 '(-1 + -28xy2 + 24x2y + 4x3)' equal to zero and attempt to solve:

Simplifying
-1 + -28xy2 + 24x2y + 4x3 = 0

Solving
-1 + -28xy2 + 24x2y + 4x3 = 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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