16x^2y^6-56x^2y^5+72x^24=

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Solution for 16x^2y^6-56x^2y^5+72x^24= equation: 


Simplifying
16x2y6 + -56x2y5 + 72x24 = 0

Reorder the terms:
-56x2y5 + 16x2y6 + 72x24 = 0

Solving
-56x2y5 + 16x2y6 + 72x24 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(-7y5 + 2y6 + 9x22) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-7y5 + 2y6 + 9x22)' equal to zero and attempt to solve:

Simplifying
-7y5 + 2y6 + 9x22 = 0

Reorder the terms:
9x22 + -7y5 + 2y6 = 0

Solving
9x22 + -7y5 + 2y6 = 0

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

Add '7y5' to each side of the equation.
9x22 + -7y5 + 7y5 + 2y6 = 0 + 7y5

Combine like terms: -7y5 + 7y5 = 0
9x22 + 0 + 2y6 = 0 + 7y5
9x22 + 2y6 = 0 + 7y5
Remove the zero:
9x22 + 2y6 = 7y5

Add '-2y6' to each side of the equation.
9x22 + 2y6 + -2y6 = 7y5 + -2y6

Combine like terms: 2y6 + -2y6 = 0
9x22 + 0 = 7y5 + -2y6
9x22 = 7y5 + -2y6

Divide each side by '9'.
x22 = 0.7777777778y5 + -0.2222222222y6

Simplifying
x22 = 0.7777777778y5 + -0.2222222222y6

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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