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Simplifying 15g2 + -31g + 14 = 0 Reorder the terms: 14 + -31g + 15g2 = 0 Solving 14 + -31g + 15g2 = 0 Solving for variable 'g'. Factor a trinomial. (2 + -3g)(7 + -5g) = 0Subproblem 1
Set the factor '(2 + -3g)' equal to zero and attempt to solve: Simplifying 2 + -3g = 0 Solving 2 + -3g = 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 + -3g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3g = 0 + -2 -3g = 0 + -2 Combine like terms: 0 + -2 = -2 -3g = -2 Divide each side by '-3'. g = 0.6666666667 Simplifying g = 0.6666666667Subproblem 2
Set the factor '(7 + -5g)' equal to zero and attempt to solve: Simplifying 7 + -5g = 0 Solving 7 + -5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5g = 0 + -7 -5g = 0 + -7 Combine like terms: 0 + -7 = -7 -5g = -7 Divide each side by '-5'. g = 1.4 Simplifying g = 1.4Solution
g = {0.6666666667, 1.4}
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