3x^2-7x^6-2x^2+8x^6=

Solution for 3x^2-7x^6-2x^2+8x^6= equation:

Simplifying
3x2 + -7x6 + -2x2 + 8x6 = 0

Reorder the terms:
3x2 + -2x2 + -7x6 + 8x6 = 0

Combine like terms: 3x2 + -2x2 = 1x2
1x2 + -7x6 + 8x6 = 0

Combine like terms: -7x6 + 8x6 = 1x6
1x2 + 1x6 = 0

Solving
1x2 + 1x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + x4) = 0

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 + x4)' equal to zero and attempt to solve:

Simplifying
1 + x4 = 0

Solving
1 + x4 = 0

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

Add '-1' to each side of the equation.
1 + -1 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x4 = 0 + -1
x4 = 0 + -1

Combine like terms: 0 + -1 = -1
x4 = -1

Simplifying
x4 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}