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Simplifying x4 + 95x2 + -500 = 0 Reorder the terms: -500 + 95x2 + x4 = 0 Solving -500 + 95x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -1x2)(5 + -1x2) = 0Subproblem 1
Set the factor '(-100 + -1x2)' equal to zero and attempt to solve: Simplifying -100 + -1x2 = 0 Solving -100 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -1x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -1x2 = 0 + 100 -1x2 = 0 + 100 Combine like terms: 0 + 100 = 100 -1x2 = 100 Divide each side by '-1'. x2 = -100 Simplifying x2 = -100 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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