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Simplifying 4g2 + -47g + -12 = 0 Reorder the terms: -12 + -47g + 4g2 = 0 Solving -12 + -47g + 4g2 = 0 Solving for variable 'g'. Factor a trinomial. (-1 + -4g)(12 + -1g) = 0Subproblem 1
Set the factor '(-1 + -4g)' equal to zero and attempt to solve: Simplifying -1 + -4g = 0 Solving -1 + -4g = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4g = 0 + 1 -4g = 0 + 1 Combine like terms: 0 + 1 = 1 -4g = 1 Divide each side by '-4'. g = -0.25 Simplifying g = -0.25Subproblem 2
Set the factor '(12 + -1g)' equal to zero and attempt to solve: Simplifying 12 + -1g = 0 Solving 12 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1g = 0 + -12 -1g = 0 + -12 Combine like terms: 0 + -12 = -12 -1g = -12 Divide each side by '-1'. g = 12 Simplifying g = 12Solution
g = {-0.25, 12}
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