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Simplifying 7g(3g + 5x) = 0 (3g * 7g + 5x * 7g) = 0 Reorder the terms: (35gx + 21g2) = 0 (35gx + 21g2) = 0 Solving 35gx + 21g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '7g'. 7g(5x + 3g) = 0 Ignore the factor 7.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 '(5x + 3g)' equal to zero and attempt to solve: Simplifying 5x + 3g = 0 Reorder the terms: 3g + 5x = 0 Solving 3g + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5x' to each side of the equation. 3g + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 3g + 0 = 0 + -5x 3g = 0 + -5x Remove the zero: 3g = -5x Divide each side by '3'. g = -1.666666667x Simplifying g = -1.666666667xSolution
g = {0, -1.666666667x}
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