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Simplifying 4g2 + -17g + -15 = 0 Reorder the terms: -15 + -17g + 4g2 = 0 Solving -15 + -17g + 4g2 = 0 Solving for variable 'g'. Factor a trinomial. (-3 + -4g)(5 + -1g) = 0Subproblem 1
Set the factor '(-3 + -4g)' equal to zero and attempt to solve: Simplifying -3 + -4g = 0 Solving -3 + -4g = 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 + -4g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4g = 0 + 3 -4g = 0 + 3 Combine like terms: 0 + 3 = 3 -4g = 3 Divide each side by '-4'. g = -0.75 Simplifying g = -0.75Subproblem 2
Set the factor '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5Solution
g = {-0.75, 5}
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