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Simplifying -6g(g + 7) = 0 Reorder the terms: -6g(7 + g) = 0 (7 * -6g + g * -6g) = 0 (-42g + -6g2) = 0 Solving -42g + -6g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '-6g'. -6g(7 + g) = 0 Ignore the factor -6.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 + g)' equal to zero and attempt to solve: Simplifying 7 + g = 0 Solving 7 + g = 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 + g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + g = 0 + -7 g = 0 + -7 Combine like terms: 0 + -7 = -7 g = -7 Simplifying g = -7Solution
g = {0, -7}
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