7x^2(x^2-7)+5x(7-x^2)=0

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Solution for 7x^2(x^2-7)+5x(7-x^2)=0 equation: 


Simplifying
7x2(x2 + -7) + 5x(7 + -1x2) = 0

Reorder the terms:
7x2(-7 + x2) + 5x(7 + -1x2) = 0
(-7 * 7x2 + x2 * 7x2) + 5x(7 + -1x2) = 0
(-49x2 + 7x4) + 5x(7 + -1x2) = 0
-49x2 + 7x4 + (7 * 5x + -1x2 * 5x) = 0
-49x2 + 7x4 + (35x + -5x3) = 0

Reorder the terms:
35x + -49x2 + -5x3 + 7x4 = 0

Solving
35x + -49x2 + -5x3 + 7x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -49x + -5x2 + 7x3) = 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 '(35 + -49x + -5x2 + 7x3)' equal to zero and attempt to solve:

Simplifying
35 + -49x + -5x2 + 7x3 = 0

Solving
35 + -49x + -5x2 + 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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