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Simplifying 3x6 + 3x3 + -18 = 0 Reorder the terms: -18 + 3x3 + 3x6 = 0 Solving -18 + 3x3 + 3x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + x3 + x6) = 0 Factor a trinomial. 3((-3 + -1x3)(2 + -1x3)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1x3)' equal to zero and attempt to solve: Simplifying -3 + -1x3 = 0 Solving -3 + -1x3 = 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 + -1x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x3 = 0 + 3 -1x3 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x3 = 3 Divide each side by '-1'. x3 = -3 Simplifying x3 = -3 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 + -1x3)' equal to zero and attempt to solve: Simplifying 2 + -1x3 = 0 Solving 2 + -1x3 = 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 + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3 = 0 + -2 -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3 = -2 Divide each side by '-1'. x3 = 2 Simplifying x3 = 2 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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