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Simplifying 7g(-3g + -6) = 0 Reorder the terms: 7g(-6 + -3g) = 0 (-6 * 7g + -3g * 7g) = 0 (-42g + -21g2) = 0 Solving -42g + -21g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '-21g'. -21g(2 + g) = 0 Ignore the factor -21.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 '(2 + g)' equal to zero and attempt to solve: Simplifying 2 + g = 0 Solving 2 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + g = 0 + -2 g = 0 + -2 Combine like terms: 0 + -2 = -2 g = -2 Simplifying g = -2Solution
g = {0, -2}
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