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Simplifying x6 + 5x3 + -36 = 0 Reorder the terms: -36 + 5x3 + x6 = 0 Solving -36 + 5x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x3)(4 + -1x3) = 0Subproblem 1
Set the factor '(-9 + -1x3)' equal to zero and attempt to solve: Simplifying -9 + -1x3 = 0 Solving -9 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x3 = 0 + 9 -1x3 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x3 = 9 Divide each side by '-1'. x3 = -9 Simplifying x3 = -9 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 '(4 + -1x3)' equal to zero and attempt to solve: Simplifying 4 + -1x3 = 0 Solving 4 + -1x3 = 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 + -1x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x3 = 0 + -4 -1x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x3 = -4 Divide each side by '-1'. x3 = 4 Simplifying x3 = 4 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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