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Simplifying 7g + -9g * 7g = -5g Reorder the terms for easier multiplication: 7g + -9 * 7g * g = -5g Multiply -9 * 7 7g + -63g * g = -5g Multiply g * g 7g + -63g2 = -5g Solving 7g + -63g2 = -5g Solving for variable 'g'. Reorder the terms: 7g + 5g + -63g2 = -5g + 5g Combine like terms: 7g + 5g = 12g 12g + -63g2 = -5g + 5g Combine like terms: -5g + 5g = 0 12g + -63g2 = 0 Factor out the Greatest Common Factor (GCF), '3g'. 3g(4 + -21g) = 0 Ignore the factor 3.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 '(4 + -21g)' equal to zero and attempt to solve: Simplifying 4 + -21g = 0 Solving 4 + -21g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -21g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -21g = 0 + -4 -21g = 0 + -4 Combine like terms: 0 + -4 = -4 -21g = -4 Divide each side by '-21'. g = 0.1904761905 Simplifying g = 0.1904761905Solution
g = {0, 0.1904761905}
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