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Simplifying 2x4 + 5x2 + -18 = 0 Reorder the terms: -18 + 5x2 + 2x4 = 0 Solving -18 + 5x2 + 2x4 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2x2)(2 + -1x2) = 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 + -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 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.414213562, 1.414213562}
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