x^4+10x=7x^2

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Solution for x^4+10x=7x^2 equation: 


Simplifying
x4 + 10x = 7x2

Reorder the terms:
10x + x4 = 7x2

Solving
10x + x4 = 7x2

Solving for variable 'x'.

Reorder the terms:
10x + -7x2 + x4 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
10x + -7x2 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -7x + x3) = 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 '(10 + -7x + x3)' equal to zero and attempt to solve:

Simplifying
10 + -7x + x3 = 0

Solving
10 + -7x + x3 = 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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