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Simplifying 6x4 + -17x2 + -28 = 0 Reorder the terms: -28 + -17x2 + 6x4 = 0 Solving -28 + -17x2 + 6x4 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x2)(4 + -1x2) = 0 Factor a difference between two squares. (-7 + -6x2)((2 + x)(2 + -1x)) = 0Subproblem 1
Set the factor '(-7 + -6x2)' equal to zero and attempt to solve: Simplifying -7 + -6x2 = 0 Solving -7 + -6x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x2 = 0 + 7 -6x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -6x2 = 7 Divide each side by '-6'. x2 = -1.166666667 Simplifying x2 = -1.166666667 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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2, 2}
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