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Simplifying x4 + 31x2 = 180 Reorder the terms: 31x2 + x4 = 180 Solving 31x2 + x4 = 180 Solving for variable 'x'. Reorder the terms: -180 + 31x2 + x4 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 31x2 + x4 = 0 Factor a trinomial. (-36 + -1x2)(5 + -1x2) = 0Subproblem 1
Set the factor '(-36 + -1x2)' equal to zero and attempt to solve: Simplifying -36 + -1x2 = 0 Solving -36 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1x2 = 0 + 36 -1x2 = 0 + 36 Combine like terms: 0 + 36 = 36 -1x2 = 36 Divide each side by '-1'. x2 = -36 Simplifying x2 = -36 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 '(5 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + -1x2 = 0 Solving 5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 = 0 + -5 -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 = -5 Divide each side by '-1'. x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Solution
x = {-2.236067978, 2.236067978}
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