56x^5-72x^4+48x^2=8x^2

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Solution for 56x^5-72x^4+48x^2=8x^2 equation: 


Simplifying
56x5 + -72x4 + 48x2 = 8x2

Reorder the terms:
48x2 + -72x4 + 56x5 = 8x2

Solving
48x2 + -72x4 + 56x5 = 8x2

Solving for variable 'x'.

Reorder the terms:
48x2 + -8x2 + -72x4 + 56x5 = 8x2 + -8x2

Combine like terms: 48x2 + -8x2 = 40x2
40x2 + -72x4 + 56x5 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
40x2 + -72x4 + 56x5 = 0

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(5 + -9x2 + 7x3) = 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 '(5 + -9x2 + 7x3)' equal to zero and attempt to solve:

Simplifying
5 + -9x2 + 7x3 = 0

Solving
5 + -9x2 + 7x3 = 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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