3x^4-2x^2+12x^2-8=

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Solution for 3x^4-2x^2+12x^2-8= equation:


Simplifying
3x4 + -2x2 + 12x2 + -8 = 0

Reorder the terms:
-8 + -2x2 + 12x2 + 3x4 = 0

Combine like terms: -2x2 + 12x2 = 10x2
-8 + 10x2 + 3x4 = 0

Solving
-8 + 10x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x2)(2 + -3x2) = 0

Subproblem 1

Set the factor '(-4 + -1x2)' equal to zero and attempt to solve: Simplifying -4 + -1x2 = 0 Solving -4 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 = 0 + 4 -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 = 4 Divide each side by '-1'. x2 = -4 Simplifying x2 = -4 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 + -3x2)' equal to zero and attempt to solve: Simplifying 2 + -3x2 = 0 Solving 2 + -3x2 = 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 + -3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 = 0 + -2 -3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 = -2 Divide each side by '-3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}

Solution

x = {-0.816496581, 0.816496581}

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