4x^2-28x^6=-48x^5

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Solution for 4x^2-28x^6=-48x^5 equation: 


Simplifying
4x2 + -28x6 = -48x5

Solving
4x2 + -28x6 = -48x5

Solving for variable 'x'.

Reorder the terms:
4x2 + 48x5 + -28x6 = -48x5 + 48x5

Combine like terms: -48x5 + 48x5 = 0
4x2 + 48x5 + -28x6 = 0

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(1 + 12x3 + -7x4) = 0

Ignore the factor 4.

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 '(1 + 12x3 + -7x4)' equal to zero and attempt to solve:

Simplifying
1 + 12x3 + -7x4 = 0

Solving
1 + 12x3 + -7x4 = 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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