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Simplifying 0 = 2x4 + 5x2 + -207 Reorder the terms: 0 = -207 + 5x2 + 2x4 Solving 0 = -207 + 5x2 + 2x4 Solving for variable 'x'. Combine like terms: 0 + 207 = 207 207 + -5x2 + -2x4 = -207 + 5x2 + 2x4 + 207 + -5x2 + -2x4 Reorder the terms: 207 + -5x2 + -2x4 = -207 + 207 + 5x2 + -5x2 + 2x4 + -2x4 Combine like terms: -207 + 207 = 0 207 + -5x2 + -2x4 = 0 + 5x2 + -5x2 + 2x4 + -2x4 207 + -5x2 + -2x4 = 5x2 + -5x2 + 2x4 + -2x4 Combine like terms: 5x2 + -5x2 = 0 207 + -5x2 + -2x4 = 0 + 2x4 + -2x4 207 + -5x2 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 207 + -5x2 + -2x4 = 0 Factor a trinomial. (9 + -1x2)(23 + 2x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(23 + 2x2) = 0Subproblem 1
Set the factor '(23 + 2x2)' equal to zero and attempt to solve: Simplifying 23 + 2x2 = 0 Solving 23 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x2 = 0 + -23 2x2 = 0 + -23 Combine like terms: 0 + -23 = -23 2x2 = -23 Divide each side by '2'. x2 = -11.5 Simplifying x2 = -11.5 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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