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Simplifying 4g2 + 5g + -6 = 0 Reorder the terms: -6 + 5g + 4g2 = 0 Solving -6 + 5g + 4g2 = 0 Solving for variable 'g'. Factor a trinomial. (-2 + -1g)(3 + -4g) = 0Subproblem 1
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 = -2Subproblem 2
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 = 0.75Solution
g = {-2, 0.75}
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