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Simplifying 5x4 + -6x2 + -8 = 0 Reorder the terms: -8 + -6x2 + 5x4 = 0 Solving -8 + -6x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x2)(2 + -1x2) = 0Subproblem 1
Set the factor '(-4 + -5x2)' equal to zero and attempt to solve: Simplifying -4 + -5x2 = 0 Solving -4 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x2 = 0 + 4 -5x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -5x2 = 4 Divide each side by '-5'. x2 = -0.8 Simplifying x2 = -0.8 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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