2x^4-6x^2+36=0

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Solution for 2x^4-6x^2+36=0 equation:


Simplifying
2x4 + -6x2 + 36 = 0

Reorder the terms:
36 + -6x2 + 2x4 = 0

Solving
36 + -6x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -3x2 + x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(18 + -3x2 + x4)' equal to zero and attempt to solve: Simplifying 18 + -3x2 + x4 = 0 Solving 18 + -3x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -3x2 + -18 + x4 = 0 + -18 Reorder the terms: 18 + -18 + -3x2 + x4 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3x2 + x4 = 0 + -18 -3x2 + x4 = 0 + -18 Combine like terms: 0 + -18 = -18 -3x2 + x4 = -18 The x term is -3x2. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x2 + 2.25 + x4 = -18 + 2.25 Reorder the terms: 2.25 + -3x2 + x4 = -18 + 2.25 Combine like terms: -18 + 2.25 = -15.75 2.25 + -3x2 + x4 = -15.75 Factor a perfect square on the left side: (x2 + -1.5)(x2 + -1.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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