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Simplifying x4 + -12x2 + -28 = 0 Reorder the terms: -28 + -12x2 + x4 = 0 Solving -28 + -12x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x2)(14 + -1x2) = 0Subproblem 1
Set the factor '(-2 + -1x2)' equal to zero and attempt to solve: Simplifying -2 + -1x2 = 0 Solving -2 + -1x2 = 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 + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x2 = 0 + 2 -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x2 = 2 Divide each side by '-1'. x2 = -2 Simplifying x2 = -2 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 '(14 + -1x2)' equal to zero and attempt to solve: Simplifying 14 + -1x2 = 0 Solving 14 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x2 = 0 + -14 -1x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -1x2 = -14 Divide each side by '-1'. x2 = 14 Simplifying x2 = 14 Take the square root of each side: x = {-3.741657387, 3.741657387}Solution
x = {-3.741657387, 3.741657387}
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