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Simplifying -4g2 + 11g + 20 = 0 Reorder the terms: 20 + 11g + -4g2 = 0 Solving 20 + 11g + -4g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -1g)(5 + 4g) = 0Subproblem 1
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Subproblem 2
Set the factor '(5 + 4g)' equal to zero and attempt to solve: Simplifying 5 + 4g = 0 Solving 5 + 4g = 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 + 4g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4g = 0 + -5 4g = 0 + -5 Combine like terms: 0 + -5 = -5 4g = -5 Divide each side by '4'. g = -1.25 Simplifying g = -1.25Solution
g = {4, -1.25}
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