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Simplifying 0 = 2x4 + 20x2 + 18 Reorder the terms: 0 = 18 + 20x2 + 2x4 Solving 0 = 18 + 20x2 + 2x4 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + -20x2 + -2x4 = 18 + 20x2 + 2x4 + -18 + -20x2 + -2x4 Reorder the terms: -18 + -20x2 + -2x4 = 18 + -18 + 20x2 + -20x2 + 2x4 + -2x4 Combine like terms: 18 + -18 = 0 -18 + -20x2 + -2x4 = 0 + 20x2 + -20x2 + 2x4 + -2x4 -18 + -20x2 + -2x4 = 20x2 + -20x2 + 2x4 + -2x4 Combine like terms: 20x2 + -20x2 = 0 -18 + -20x2 + -2x4 = 0 + 2x4 + -2x4 -18 + -20x2 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -18 + -20x2 + -2x4 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 10x2 + x4) = 0 Factor a trinomial. -2((9 + x2)(1 + x2)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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