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Simplifying 2x4 + 11x2 + -90 = 0 Reorder the terms: -90 + 11x2 + 2x4 = 0 Solving -90 + 11x2 + 2x4 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x2)(9 + -2x2) = 0Subproblem 1
Set the factor '(-10 + -1x2)' equal to zero and attempt to solve: Simplifying -10 + -1x2 = 0 Solving -10 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x2 = 0 + 10 -1x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -1x2 = 10 Divide each side by '-1'. x2 = -10 Simplifying x2 = -10 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 '(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 Take the square root of each side: x = {-2.121320344, 2.121320344}Solution
x = {-2.121320344, 2.121320344}
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