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Simplifying 3x8 + -24x4 + -27 = 0 Reorder the terms: -27 + -24x4 + 3x8 = 0 Solving -27 + -24x4 + 3x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + -8x4 + x8) = 0 Factor a trinomial. 3((-1 + -1x4)(9 + -1x4)) = 0 Factor a difference between two squares. 3((-1 + -1x4)((3 + x2)(3 + -1x2))) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1x4)' equal to zero and attempt to solve: Simplifying -1 + -1x4 = 0 Solving -1 + -1x4 = 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 + -1x4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x4 = 0 + 1 -1x4 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x4 = 1 Divide each side by '-1'. x4 = -1 Simplifying x4 = -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 '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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