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Simplifying x6 + 4x3 + -60 = 0 Reorder the terms: -60 + 4x3 + x6 = 0 Solving -60 + 4x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x3)(6 + -1x3) = 0Subproblem 1
Set the factor '(-10 + -1x3)' equal to zero and attempt to solve: Simplifying -10 + -1x3 = 0 Solving -10 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x3 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x3 = 0 + 10 -1x3 = 0 + 10 Combine like terms: 0 + 10 = 10 -1x3 = 10 Divide each side by '-1'. x3 = -10 Simplifying x3 = -10 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 '(6 + -1x3)' equal to zero and attempt to solve: Simplifying 6 + -1x3 = 0 Solving 6 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x3 = 0 + -6 -1x3 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x3 = -6 Divide each side by '-1'. x3 = 6 Simplifying x3 = 6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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