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Simplifying 0 = 2x4 + x2 + -36 Reorder the terms: 0 = -36 + x2 + 2x4 Solving 0 = -36 + x2 + 2x4 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + -1x2 + -2x4 = -36 + x2 + 2x4 + 36 + -1x2 + -2x4 Reorder the terms: 36 + -1x2 + -2x4 = -36 + 36 + x2 + -1x2 + 2x4 + -2x4 Combine like terms: -36 + 36 = 0 36 + -1x2 + -2x4 = 0 + x2 + -1x2 + 2x4 + -2x4 36 + -1x2 + -2x4 = x2 + -1x2 + 2x4 + -2x4 Combine like terms: x2 + -1x2 = 0 36 + -1x2 + -2x4 = 0 + 2x4 + -2x4 36 + -1x2 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 36 + -1x2 + -2x4 = 0 Factor a trinomial. (4 + -1x2)(9 + 2x2) = 0 Factor a difference between two squares. ((2 + x)(2 + -1x))(9 + 2x2) = 0Subproblem 1
Set the factor '(9 + 2x2)' equal to zero and attempt to solve: Simplifying 9 + 2x2 = 0 Solving 9 + 2x2 = 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 + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x2 = 0 + -9 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2x2 = -9 Divide each side by '2'. x2 = -4.5 Simplifying x2 = -4.5 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2, 2}
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