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Simplifying 4g2 + 40g + 100 = 0 Reorder the terms: 100 + 40g + 4g2 = 0 Solving 100 + 40g + 4g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '4'. 4(25 + 10g + g2) = 0 Factor a trinomial. 4((5 + g)(5 + g)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + g)' equal to zero and attempt to solve: Simplifying 5 + g = 0 Solving 5 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + g = 0 + -5 g = 0 + -5 Combine like terms: 0 + -5 = -5 g = -5 Simplifying g = -5Subproblem 2
Set the factor '(5 + g)' equal to zero and attempt to solve: Simplifying 5 + g = 0 Solving 5 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + g = 0 + -5 g = 0 + -5 Combine like terms: 0 + -5 = -5 g = -5 Simplifying g = -5Solution
g = {-5, -5}
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