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Simplifying 2g2 + -14g = 0 Reorder the terms: -14g + 2g2 = 0 Solving -14g + 2g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2g'. 2g(-7 + g) = 0 Ignore the factor 2.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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