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Simplifying 7g + -8g3 + 5g = 0 Reorder the terms: 7g + 5g + -8g3 = 0 Combine like terms: 7g + 5g = 12g 12g + -8g3 = 0 Solving 12g + -8g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '4g'. 4g(3 + -2g2) = 0 Ignore the factor 4.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 '(3 + -2g2)' equal to zero and attempt to solve: Simplifying 3 + -2g2 = 0 Solving 3 + -2g2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2g2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2g2 = 0 + -3 -2g2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2g2 = -3 Divide each side by '-2'. g2 = 1.5 Simplifying g2 = 1.5 Take the square root of each side: g = {-1.224744871, 1.224744871}Solution
g = {0, -1.224744871, 1.224744871}
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