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Simplifying 10g2 + 57g + 77 = 0 Reorder the terms: 77 + 57g + 10g2 = 0 Solving 77 + 57g + 10g2 = 0 Solving for variable 'g'. Factor a trinomial. (7 + 2g)(11 + 5g) = 0Subproblem 1
Set the factor '(7 + 2g)' equal to zero and attempt to solve: Simplifying 7 + 2g = 0 Solving 7 + 2g = 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 + 2g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2g = 0 + -7 2g = 0 + -7 Combine like terms: 0 + -7 = -7 2g = -7 Divide each side by '2'. g = -3.5 Simplifying g = -3.5Subproblem 2
Set the factor '(11 + 5g)' equal to zero and attempt to solve: Simplifying 11 + 5g = 0 Solving 11 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5g = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5g = 0 + -11 5g = 0 + -11 Combine like terms: 0 + -11 = -11 5g = -11 Divide each side by '5'. g = -2.2 Simplifying g = -2.2Solution
g = {-3.5, -2.2}
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