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Simplifying 3g2 + -19g + -72 = 0 Reorder the terms: -72 + -19g + 3g2 = 0 Solving -72 + -19g + 3g2 = 0 Solving for variable 'g'. Factor a trinomial. (-8 + -3g)(9 + -1g) = 0Subproblem 1
Set the factor '(-8 + -3g)' equal to zero and attempt to solve: Simplifying -8 + -3g = 0 Solving -8 + -3g = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3g = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3g = 0 + 8 -3g = 0 + 8 Combine like terms: 0 + 8 = 8 -3g = 8 Divide each side by '-3'. g = -2.666666667 Simplifying g = -2.666666667Subproblem 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 = {-2.666666667, 9}
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