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Simplifying 100g2 + 240g + 144 = 0 Reorder the terms: 144 + 240g + 100g2 = 0 Solving 144 + 240g + 100g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '4'. 4(36 + 60g + 25g2) = 0 Factor a trinomial. 4((6 + 5g)(6 + 5g)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + 5g)' equal to zero and attempt to solve: Simplifying 6 + 5g = 0 Solving 6 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5g = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5g = 0 + -6 5g = 0 + -6 Combine like terms: 0 + -6 = -6 5g = -6 Divide each side by '5'. g = -1.2 Simplifying g = -1.2Subproblem 2
Set the factor '(6 + 5g)' equal to zero and attempt to solve: Simplifying 6 + 5g = 0 Solving 6 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5g = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5g = 0 + -6 5g = 0 + -6 Combine like terms: 0 + -6 = -6 5g = -6 Divide each side by '5'. g = -1.2 Simplifying g = -1.2Solution
g = {-1.2, -1.2}
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