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Simplifying 9g2 + -12g + 4 = 0 Reorder the terms: 4 + -12g + 9g2 = 0 Solving 4 + -12g + 9g2 = 0 Solving for variable 'g'. Factor a trinomial. (2 + -3g)(2 + -3g) = 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 '(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 = 0.6666666667Solution
g = {0.6666666667, 0.6666666667}
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