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Simplifying 5g2 + -60g + 100 = 0 Reorder the terms: 100 + -60g + 5g2 = 0 Solving 100 + -60g + 5g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '5'. 5(20 + -12g + g2) = 0 Factor a trinomial. 5((2 + -1g)(10 + -1g)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 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 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Subproblem 2
Set the factor '(10 + -1g)' equal to zero and attempt to solve: Simplifying 10 + -1g = 0 Solving 10 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1g = 0 + -10 -1g = 0 + -10 Combine like terms: 0 + -10 = -10 -1g = -10 Divide each side by '-1'. g = 10 Simplifying g = 10Solution
g = {2, 10}
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