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Simplifying 5x4 + -8x2 + -13 = 0 Reorder the terms: -13 + -8x2 + 5x4 = 0 Solving -13 + -8x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x2)(13 + -5x2) = 0Subproblem 1
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + -1x2 = 0 Solving -1 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 = 0 + 1 -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 = 1 Divide each side by '-1'. x2 = -1 Simplifying x2 = -1 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 '(13 + -5x2)' equal to zero and attempt to solve: Simplifying 13 + -5x2 = 0 Solving 13 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5x2 = 0 + -13 -5x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -5x2 = -13 Divide each side by '-5'. x2 = 2.6 Simplifying x2 = 2.6 Take the square root of each side: x = {-1.61245155, 1.61245155}Solution
x = {-1.61245155, 1.61245155}
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