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Simplifying (g + 3)(g + -9) = 0 Reorder the terms: (3 + g)(g + -9) = 0 Reorder the terms: (3 + g)(-9 + g) = 0 Multiply (3 + g) * (-9 + g) (3(-9 + g) + g(-9 + g)) = 0 ((-9 * 3 + g * 3) + g(-9 + g)) = 0 ((-27 + 3g) + g(-9 + g)) = 0 (-27 + 3g + (-9 * g + g * g)) = 0 (-27 + 3g + (-9g + g2)) = 0 Combine like terms: 3g + -9g = -6g (-27 + -6g + g2) = 0 Solving -27 + -6g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-3 + -1g)(9 + -1g) = 0Subproblem 1
Set the factor '(-3 + -1g)' equal to zero and attempt to solve: Simplifying -3 + -1g = 0 Solving -3 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1g = 0 + 3 -1g = 0 + 3 Combine like terms: 0 + 3 = 3 -1g = 3 Divide each side by '-1'. g = -3 Simplifying g = -3Subproblem 2
Set the factor '(9 + -1g)' equal to zero and attempt to solve: Simplifying 9 + -1g = 0 Solving 9 + -1g = 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 + -1g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1g = 0 + -9 -1g = 0 + -9 Combine like terms: 0 + -9 = -9 -1g = -9 Divide each side by '-1'. g = 9 Simplifying g = 9Solution
g = {-3, 9}
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