16x^4+20x^2-126=

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Solution for 16x^4+20x^2-126= equation:


Simplifying
16x4 + 20x2 + -126 = 0

Reorder the terms:
-126 + 20x2 + 16x4 = 0

Solving
-126 + 20x2 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-63 + 10x2 + 8x4) = 0

Factor a trinomial.
2((-7 + -2x2)(9 + -4x2)) = 0

Factor a difference between two squares.
2((-7 + -2x2)((3 + 2x)(3 + -2x))) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -2x2)' equal to zero and attempt to solve: Simplifying -7 + -2x2 = 0 Solving -7 + -2x2 = 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 + -2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x2 = 0 + 7 -2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -2x2 = 7 Divide each side by '-2'. x2 = -3.5 Simplifying x2 = -3.5 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Subproblem 3

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-1.5, 1.5}

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