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Simplifying 25g2 + -30g + 9 = 0 Reorder the terms: 9 + -30g + 25g2 = 0 Solving 9 + -30g + 25g2 = 0 Solving for variable 'g'. Factor a trinomial. (3 + -5g)(3 + -5g) = 0Subproblem 1
Set the factor '(3 + -5g)' equal to zero and attempt to solve: Simplifying 3 + -5g = 0 Solving 3 + -5g = 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 + -5g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5g = 0 + -3 -5g = 0 + -3 Combine like terms: 0 + -3 = -3 -5g = -3 Divide each side by '-5'. g = 0.6 Simplifying g = 0.6Subproblem 2
Set the factor '(3 + -5g)' equal to zero and attempt to solve: Simplifying 3 + -5g = 0 Solving 3 + -5g = 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 + -5g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5g = 0 + -3 -5g = 0 + -3 Combine like terms: 0 + -3 = -3 -5g = -3 Divide each side by '-5'. g = 0.6 Simplifying g = 0.6Solution
g = {0.6, 0.6}
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