2x^8+7x^4=49

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Solution for 2x^8+7x^4=49 equation:


Simplifying
2x8 + 7x4 = 49

Reorder the terms:
7x4 + 2x8 = 49

Solving
7x4 + 2x8 = 49

Solving for variable 'x'.

Reorder the terms:
-49 + 7x4 + 2x8 = 49 + -49

Combine like terms: 49 + -49 = 0
-49 + 7x4 + 2x8 = 0

Factor a trinomial.
(-7 + -1x4)(7 + -2x4) = 0

Subproblem 1

Set the factor '(-7 + -1x4)' equal to zero and attempt to solve: Simplifying -7 + -1x4 = 0 Solving -7 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x4 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x4 = 0 + 7 -1x4 = 0 + 7 Combine like terms: 0 + 7 = 7 -1x4 = 7 Divide each side by '-1'. x4 = -7 Simplifying x4 = -7 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 '(7 + -2x4)' equal to zero and attempt to solve: Simplifying 7 + -2x4 = 0 Solving 7 + -2x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x4 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x4 = 0 + -7 -2x4 = 0 + -7 Combine like terms: 0 + -7 = -7 -2x4 = -7 Divide each side by '-2'. x4 = 3.5 Simplifying x4 = 3.5 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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