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Simplifying g2 + 38g = 0 Reorder the terms: 38g + g2 = 0 Solving 38g + g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(38 + g) = 0Subproblem 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 '(38 + g)' equal to zero and attempt to solve: Simplifying 38 + g = 0 Solving 38 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + g = 0 + -38 Combine like terms: 38 + -38 = 0 0 + g = 0 + -38 g = 0 + -38 Combine like terms: 0 + -38 = -38 g = -38 Simplifying g = -38Solution
g = {0, -38}
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