3x^4+5x^2-28=0

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Solution for 3x^4+5x^2-28=0 equation:


Simplifying
3x4 + 5x2 + -28 = 0

Reorder the terms:
-28 + 5x2 + 3x4 = 0

Solving
-28 + 5x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x2)(7 + -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 '(7 + -3x2)' equal to zero and attempt to solve: Simplifying 7 + -3x2 = 0 Solving 7 + -3x2 = 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 + -3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x2 = 0 + -7 -3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3x2 = -7 Divide each side by '-3'. x2 = 2.333333333 Simplifying x2 = 2.333333333 Take the square root of each side: x = {-1.527525232, 1.527525232}

Solution

x = {-1.527525232, 1.527525232}

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