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Simplifying (3g + 6) * x(g + 9) = 0 Reorder the terms: (6 + 3g) * x(g + 9) = 0 Reorder the terms: (6 + 3g) * x(9 + g) = 0 Reorder the terms for easier multiplication: x(6 + 3g)(9 + g) = 0 Multiply (6 + 3g) * (9 + g) x(6(9 + g) + 3g * (9 + g)) = 0 x((9 * 6 + g * 6) + 3g * (9 + g)) = 0 x((54 + 6g) + 3g * (9 + g)) = 0 x(54 + 6g + (9 * 3g + g * 3g)) = 0 x(54 + 6g + (27g + 3g2)) = 0 Combine like terms: 6g + 27g = 33g x(54 + 33g + 3g2) = 0 (54 * x + 33g * x + 3g2 * x) = 0 Reorder the terms: (33gx + 3g2x + 54x) = 0 (33gx + 3g2x + 54x) = 0 Solving 33gx + 3g2x + 54x = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(11g + g2 + 18) = 0 Factor a trinomial. 3x((g + 2)(g + 9)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(g + 2)' equal to zero and attempt to solve: Simplifying g + 2 = 0 Reorder the terms: 2 + g = 0 Solving 2 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + g = 0 + -2 g = 0 + -2 Combine like terms: 0 + -2 = -2 g = -2 Simplifying g = -2Subproblem 3
Set the factor '(g + 9)' equal to zero and attempt to solve: Simplifying g + 9 = 0 Reorder the terms: 9 + g = 0 Solving 9 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + g = 0 + -9 g = 0 + -9 Combine like terms: 0 + -9 = -9 g = -9 Simplifying g = -9Solution
g = {-2, -9}
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