2x^4-36+x^2=0

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Solution for 2x^4-36+x^2=0 equation:


Simplifying
2x4 + -36 + x2 = 0

Reorder the terms:
-36 + x2 + 2x4 = 0

Solving
-36 + x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x2)(4 + -1x2) = 0

Factor a difference between two squares.
(-9 + -2x2)((2 + x)(2 + -1x)) = 0

Subproblem 1

Set the factor '(-9 + -2x2)' equal to zero and attempt to solve: Simplifying -9 + -2x2 = 0 Solving -9 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x2 = 0 + 9 -2x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -2x2 = 9 Divide each side by '-2'. x2 = -4.5 Simplifying x2 = -4.5 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 3

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

Solution

x = {-2, 2}

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