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Simplifying 3x6 + 9x3 + -84 = 0 Reorder the terms: -84 + 9x3 + 3x6 = 0 Solving -84 + 9x3 + 3x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-28 + 3x3 + x6) = 0 Factor a trinomial. 3((-7 + -1x3)(4 + -1x3)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -1x3)' equal to zero and attempt to solve: Simplifying -7 + -1x3 = 0 Solving -7 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x3 = 0 + 7 -1x3 = 0 + 7 Combine like terms: 0 + 7 = 7 -1x3 = 7 Divide each side by '-1'. x3 = -7 Simplifying x3 = -7 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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