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Simplifying 6x4 + -1x2 + -40 = 0 Reorder the terms: -40 + -1x2 + 6x4 = 0 Solving -40 + -1x2 + 6x4 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x2)(8 + -3x2) = 0Subproblem 1
Set the factor '(-5 + -2x2)' equal to zero and attempt to solve: Simplifying -5 + -2x2 = 0 Solving -5 + -2x2 = 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 + -2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x2 = 0 + 5 -2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -2x2 = 5 Divide each side by '-2'. x2 = -2.5 Simplifying x2 = -2.5 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 '(8 + -3x2)' equal to zero and attempt to solve: Simplifying 8 + -3x2 = 0 Solving 8 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x2 = 0 + -8 -3x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3x2 = -8 Divide each side by '-3'. x2 = 2.666666667 Simplifying x2 = 2.666666667 Take the square root of each side: x = {-1.632993162, 1.632993162}Solution
x = {-1.632993162, 1.632993162}
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