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Simplifying -8g(3 + -1g + 6) + (-7g) = 0 Reorder the terms: -8g(3 + 6 + -1g) + (-7g) = 0 Combine like terms: 3 + 6 = 9 -8g(9 + -1g) + (-7g) = 0 (9 * -8g + -1g * -8g) + (-7g) = 0 (-72g + 8g2) + (-7g) = 0 Reorder the terms: -72g + (-7g) + 8g2 = 0 Combine like terms: -72g + (-7g) = -79g -79g + 8g2 = 0 Solving -79g + 8g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-79 + 8g) = 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 '(-79 + 8g)' equal to zero and attempt to solve: Simplifying -79 + 8g = 0 Solving -79 + 8g = 0 Move all terms containing g to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + 8g = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 8g = 0 + 79 8g = 0 + 79 Combine like terms: 0 + 79 = 79 8g = 79 Divide each side by '8'. g = 9.875 Simplifying g = 9.875Solution
g = {0, 9.875}
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