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Simplifying (13g)(4g + 7) = 0 Remove parenthesis around (13g) 13g(4g + 7) = 0 Reorder the terms: 13g(7 + 4g) = 0 (7 * 13g + 4g * 13g) = 0 (91g + 52g2) = 0 Solving 91g + 52g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '13g'. 13g(7 + 4g) = 0 Ignore the factor 13.Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(7 + 4g)' equal to zero and attempt to solve: Simplifying 7 + 4g = 0 Solving 7 + 4g = 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 + 4g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4g = 0 + -7 4g = 0 + -7 Combine like terms: 0 + -7 = -7 4g = -7 Divide each side by '4'. g = -1.75 Simplifying g = -1.75Solution
g = {0, -1.75}
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