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Simplifying 2x6 + 13x3 + -45 = 0 Reorder the terms: -45 + 13x3 + 2x6 = 0 Solving -45 + 13x3 + 2x6 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x3)(5 + -2x3) = 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 '(5 + -2x3)' equal to zero and attempt to solve: Simplifying 5 + -2x3 = 0 Solving 5 + -2x3 = 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 + -2x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x3 = 0 + -5 -2x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x3 = -5 Divide each side by '-2'. x3 = 2.5 Simplifying x3 = 2.5 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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