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Simplifying 3x6 + 13x3 + -30 = 0 Reorder the terms: -30 + 13x3 + 3x6 = 0 Solving -30 + 13x3 + 3x6 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x3)(5 + -3x3) = 0Subproblem 1
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.Subproblem 2
Set the factor '(5 + -3x3)' equal to zero and attempt to solve: Simplifying 5 + -3x3 = 0 Solving 5 + -3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x3 = 0 + -5 -3x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x3 = -5 Divide each side by '-3'. x3 = 1.666666667 Simplifying x3 = 1.666666667 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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