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Simplifying 225g2 + 30g + 1 = 0 Reorder the terms: 1 + 30g + 225g2 = 0 Solving 1 + 30g + 225g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + 15g)(1 + 15g) = 0Subproblem 1
Set the factor '(1 + 15g)' equal to zero and attempt to solve: Simplifying 1 + 15g = 0 Solving 1 + 15g = 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 + 15g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15g = 0 + -1 15g = 0 + -1 Combine like terms: 0 + -1 = -1 15g = -1 Divide each side by '15'. g = -0.06666666667 Simplifying g = -0.06666666667Subproblem 2
Set the factor '(1 + 15g)' equal to zero and attempt to solve: Simplifying 1 + 15g = 0 Solving 1 + 15g = 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 + 15g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15g = 0 + -1 15g = 0 + -1 Combine like terms: 0 + -1 = -1 15g = -1 Divide each side by '15'. g = -0.06666666667 Simplifying g = -0.06666666667Solution
g = {-0.06666666667, -0.06666666667}
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