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Simplifying x4 + 15x2 + -184 = 0 Reorder the terms: -184 + 15x2 + x4 = 0 Solving -184 + 15x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -1x2)(8 + -1x2) = 0Subproblem 1
Set the factor '(-23 + -1x2)' equal to zero and attempt to solve: Simplifying -23 + -1x2 = 0 Solving -23 + -1x2 = 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 + -1x2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x2 = 0 + 23 -1x2 = 0 + 23 Combine like terms: 0 + 23 = 23 -1x2 = 23 Divide each side by '-1'. x2 = -23 Simplifying x2 = -23 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 '(8 + -1x2)' equal to zero and attempt to solve: Simplifying 8 + -1x2 = 0 Solving 8 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x2 = 0 + -8 -1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x2 = -8 Divide each side by '-1'. x2 = 8 Simplifying x2 = 8 Take the square root of each side: x = {-2.828427125, 2.828427125}Solution
x = {-2.828427125, 2.828427125}
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