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Simplifying 10g3 + -3g = 0 Reorder the terms: -3g + 10g3 = 0 Solving -3g + 10g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-3 + 10g2) = 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 '(-3 + 10g2)' equal to zero and attempt to solve: Simplifying -3 + 10g2 = 0 Solving -3 + 10g2 = 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 + 10g2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10g2 = 0 + 3 10g2 = 0 + 3 Combine like terms: 0 + 3 = 3 10g2 = 3 Divide each side by '10'. g2 = 0.3 Simplifying g2 = 0.3 Take the square root of each side: g = {-0.547722558, 0.547722558}Solution
g = {0, -0.547722558, 0.547722558}
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