-4x^4-22x^2-101=18x^2-17

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Solution for -4x^4-22x^2-101=18x^2-17 equation:


Simplifying
-4x4 + -22x2 + -101 = 18x2 + -17

Reorder the terms:
-101 + -22x2 + -4x4 = 18x2 + -17

Reorder the terms:
-101 + -22x2 + -4x4 = -17 + 18x2

Solving
-101 + -22x2 + -4x4 = -17 + 18x2

Solving for variable 'x'.

Reorder the terms:
-101 + 17 + -22x2 + -18x2 + -4x4 = -17 + 18x2 + 17 + -18x2

Combine like terms: -101 + 17 = -84
-84 + -22x2 + -18x2 + -4x4 = -17 + 18x2 + 17 + -18x2

Combine like terms: -22x2 + -18x2 = -40x2
-84 + -40x2 + -4x4 = -17 + 18x2 + 17 + -18x2

Reorder the terms:
-84 + -40x2 + -4x4 = -17 + 17 + 18x2 + -18x2

Combine like terms: -17 + 17 = 0
-84 + -40x2 + -4x4 = 0 + 18x2 + -18x2
-84 + -40x2 + -4x4 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-84 + -40x2 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(21 + 10x2 + x4) = 0

Factor a trinomial.
-4((7 + x2)(3 + x2)) = 0

Ignore the factor -4.

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 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 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 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 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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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