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Simplifying x4 + 9x2 + -36 = 0 Reorder the terms: -36 + 9x2 + x4 = 0 Solving -36 + 9x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -1x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-12 + -1x2)' equal to zero and attempt to solve: Simplifying -12 + -1x2 = 0 Solving -12 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x2 = 0 + 12 -1x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -1x2 = 12 Divide each side by '-1'. x2 = -12 Simplifying x2 = -12 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 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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