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Simplifying X4 + 12X2 = -27 Reorder the terms: 12X2 + X4 = -27 Solving 12X2 + X4 = -27 Solving for variable 'X'. Reorder the terms: 27 + 12X2 + X4 = -27 + 27 Combine like terms: -27 + 27 = 0 27 + 12X2 + X4 = 0 Factor a trinomial. (9 + X2)(3 + X2) = 0Subproblem 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 '(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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