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Simplifying 6S2 + 38S + -28 = 0 Reorder the terms: -28 + 38S + 6S2 = 0 Solving -28 + 38S + 6S2 = 0 Solving for variable 'S'. Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + 19S + 3S2) = 0 Factor a trinomial. 2((-7 + -1S)(2 + -3S)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1S)' equal to zero and attempt to solve: Simplifying -7 + -1S = 0 Solving -7 + -1S = 0 Move all terms containing S to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1S = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1S = 0 + 7 -1S = 0 + 7 Combine like terms: 0 + 7 = 7 -1S = 7 Divide each side by '-1'. S = -7 Simplifying S = -7Subproblem 2
Set the factor '(2 + -3S)' equal to zero and attempt to solve: Simplifying 2 + -3S = 0 Solving 2 + -3S = 0 Move all terms containing S to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3S = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3S = 0 + -2 -3S = 0 + -2 Combine like terms: 0 + -2 = -2 -3S = -2 Divide each side by '-3'. S = 0.6666666667 Simplifying S = 0.6666666667Solution
S = {-7, 0.6666666667}
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