-3x^4+23x^2-14=0

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Solution for -3x^4+23x^2-14=0 equation:


Simplifying
-3x4 + 23x2 + -14 = 0

Reorder the terms:
-14 + 23x2 + -3x4 = 0

Solving
-14 + 23x2 + -3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + x2)(2 + -3x2) = 0

Subproblem 1

Set the factor '(-7 + x2)' equal to zero and attempt to solve: Simplifying -7 + x2 = 0 Solving -7 + x2 = 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 + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 = 0 + 7 x2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}

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 = {-2.645751311, 2.645751311, -0.816496581, 0.816496581}

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