3x^4-10x^2-32=0

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Solution for 3x^4-10x^2-32=0 equation:


Simplifying
3x4 + -10x2 + -32 = 0

Reorder the terms:
-32 + -10x2 + 3x4 = 0

Solving
-32 + -10x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x2)(16 + -3x2) = 0

Subproblem 1

Set the factor '(-2 + -1x2)' equal to zero and attempt to solve: Simplifying -2 + -1x2 = 0 Solving -2 + -1x2 = 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 + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x2 = 0 + 2 -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x2 = 2 Divide each side by '-1'. x2 = -2 Simplifying x2 = -2 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 '(16 + -3x2)' equal to zero and attempt to solve: Simplifying 16 + -3x2 = 0 Solving 16 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x2 = 0 + -16 -3x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -3x2 = -16 Divide each side by '-3'. x2 = 5.333333333 Simplifying x2 = 5.333333333 Take the square root of each side: x = {-2.309401077, 2.309401077}

Solution

x = {-2.309401077, 2.309401077}

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