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Simplifying 3g2(4g + -7) = 0 Reorder the terms: 3g2(-7 + 4g) = 0 (-7 * 3g2 + 4g * 3g2) = 0 (-21g2 + 12g3) = 0 Solving -21g2 + 12g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3g2'. 3g2(-7 + 4g) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'g2' equal to zero and attempt to solve: Simplifying g2 = 0 Solving g2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2 = 0 Take the square root of each side: g = {0}Subproblem 2
Set the factor '(-7 + 4g)' equal to zero and attempt to solve: Simplifying -7 + 4g = 0 Solving -7 + 4g = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4g = 0 + 7 4g = 0 + 7 Combine like terms: 0 + 7 = 7 4g = 7 Divide each side by '4'. g = 1.75 Simplifying g = 1.75Solution
g = {0, 1.75}
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