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Simplifying 4g2 + -11g + 6 = 0 Reorder the terms: 6 + -11g + 4g2 = 0 Solving 6 + -11g + 4g2 = 0 Solving for variable 'g'. Factor a trinomial. (3 + -4g)(2 + -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 '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 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 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Solution
g = {0.75, 2}
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