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Simplifying 4x4 + -22x2 + -126 = 0 Reorder the terms: -126 + -22x2 + 4x4 = 0 Solving -126 + -22x2 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + -11x2 + 2x4) = 0 Factor a trinomial. 2((-7 + -2x2)(9 + -1x2)) = 0 Factor a difference between two squares. 2((-7 + -2x2)((3 + x)(3 + -1x))) = 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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3, 3}
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