10x^8+7x^4+1=0

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Solution for 10x^8+7x^4+1=0 equation:


Simplifying
10x8 + 7x4 + 1 = 0

Reorder the terms:
1 + 7x4 + 10x8 = 0

Solving
1 + 7x4 + 10x8 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 2x4)(1 + 5x4) = 0

Subproblem 1

Set the factor '(1 + 2x4)' equal to zero and attempt to solve: Simplifying 1 + 2x4 = 0 Solving 1 + 2x4 = 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 + 2x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x4 = 0 + -1 2x4 = 0 + -1 Combine like terms: 0 + -1 = -1 2x4 = -1 Divide each side by '2'. x4 = -0.5 Simplifying x4 = -0.5 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 + 5x4)' equal to zero and attempt to solve: Simplifying 1 + 5x4 = 0 Solving 1 + 5x4 = 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 + 5x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x4 = 0 + -1 5x4 = 0 + -1 Combine like terms: 0 + -1 = -1 5x4 = -1 Divide each side by '5'. x4 = -0.2 Simplifying x4 = -0.2 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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