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Simplifying 14S2 + -12S = 0 Reorder the terms: -12S + 14S2 = 0 Solving -12S + 14S2 = 0 Solving for variable 'S'. Factor out the Greatest Common Factor (GCF), '2S'. 2S(-6 + 7S) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'S' equal to zero and attempt to solve: Simplifying S = 0 Solving S = 0 Move all terms containing S to the left, all other terms to the right. Simplifying S = 0Subproblem 2
Set the factor '(-6 + 7S)' equal to zero and attempt to solve: Simplifying -6 + 7S = 0 Solving -6 + 7S = 0 Move all terms containing S to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7S = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7S = 0 + 6 7S = 0 + 6 Combine like terms: 0 + 6 = 6 7S = 6 Divide each side by '7'. S = 0.8571428571 Simplifying S = 0.8571428571Solution
S = {0, 0.8571428571}
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