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Simplifying 13g2 + -10g + -19g + -1g2 = 0 Reorder the terms: -10g + -19g + 13g2 + -1g2 = 0 Combine like terms: -10g + -19g = -29g -29g + 13g2 + -1g2 = 0 Combine like terms: 13g2 + -1g2 = 12g2 -29g + 12g2 = 0 Solving -29g + 12g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-29 + 12g) = 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 '(-29 + 12g)' equal to zero and attempt to solve: Simplifying -29 + 12g = 0 Solving -29 + 12g = 0 Move all terms containing g to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 12g = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 12g = 0 + 29 12g = 0 + 29 Combine like terms: 0 + 29 = 29 12g = 29 Divide each side by '12'. g = 2.416666667 Simplifying g = 2.416666667Solution
g = {0, 2.416666667}
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