2x^6+14x^3=16

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Solution for 2x^6+14x^3=16 equation: 


Simplifying
2x6 + 14x3 = 16

Reorder the terms:
14x3 + 2x6 = 16

Solving
14x3 + 2x6 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 14x3 + 2x6 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 14x3 + 2x6 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 7x3 + x6) = 0

Factor a trinomial.
2((-8 + -1x3)(1 + -1x3)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -1x3)' equal to zero and attempt to solve:

Simplifying
-8 + -1x3 = 0

Solving
-8 + -1x3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x3 = 0 + 8
-1x3 = 0 + 8

Combine like terms: 0 + 8 = 8
-1x3 = 8

Divide each side by '-1'.
x3 = -8

Simplifying
x3 = -8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(1 + -1x3)' equal to zero and attempt to solve:

Simplifying
1 + -1x3 = 0

Solving
1 + -1x3 = 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 + -1x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x3 = 0 + -1
-1x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1x3 = -1

Divide each side by '-1'.
x3 = 1

Simplifying
x3 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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