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Simplifying 3x6 + -22x3 + 24 = 0 Reorder the terms: 24 + -22x3 + 3x6 = 0 Solving 24 + -22x3 + 3x6 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -3x3)(6 + -1x3) = 0Subproblem 1
Set the factor '(4 + -3x3)' equal to zero and attempt to solve: Simplifying 4 + -3x3 = 0 Solving 4 + -3x3 = 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 + -3x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x3 = 0 + -4 -3x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x3 = -4 Divide each side by '-3'. x3 = 1.333333333 Simplifying x3 = 1.333333333 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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