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Simplifying 4 + 121g2 = -44g Solving 4 + 121g2 = -44g Solving for variable 'g'. Reorder the terms: 4 + 44g + 121g2 = -44g + 44g Combine like terms: -44g + 44g = 0 4 + 44g + 121g2 = 0 Factor a trinomial. (2 + 11g)(2 + 11g) = 0Subproblem 1
Set the factor '(2 + 11g)' equal to zero and attempt to solve: Simplifying 2 + 11g = 0 Solving 2 + 11g = 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 + 11g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11g = 0 + -2 11g = 0 + -2 Combine like terms: 0 + -2 = -2 11g = -2 Divide each side by '11'. g = -0.1818181818 Simplifying g = -0.1818181818Subproblem 2
Set the factor '(2 + 11g)' equal to zero and attempt to solve: Simplifying 2 + 11g = 0 Solving 2 + 11g = 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 + 11g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11g = 0 + -2 11g = 0 + -2 Combine like terms: 0 + -2 = -2 11g = -2 Divide each side by '11'. g = -0.1818181818 Simplifying g = -0.1818181818Solution
g = {-0.1818181818, -0.1818181818}
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