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Simplifying S(s + 5) = (s + -4)(s + -3) Reorder the terms: S(5 + s) = (s + -4)(s + -3) (5 * S + s * S) = (s + -4)(s + -3) (5S + sS) = (s + -4)(s + -3) Reorder the terms: 5S + sS = (-4 + s)(s + -3) Reorder the terms: 5S + sS = (-4 + s)(-3 + s) Multiply (-4 + s) * (-3 + s) 5S + sS = (-4(-3 + s) + s(-3 + s)) 5S + sS = ((-3 * -4 + s * -4) + s(-3 + s)) 5S + sS = ((12 + -4s) + s(-3 + s)) 5S + sS = (12 + -4s + (-3 * s + s * s)) 5S + sS = (12 + -4s + (-3s + s2)) Combine like terms: -4s + -3s = -7s 5S + sS = (12 + -7s + s2) Solving 5S + sS = 12 + -7s + s2 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Reorder the terms: -12 + 5S + 7s + sS + -1s2 = 12 + -7s + s2 + -12 + 7s + -1s2 Reorder the terms: -12 + 5S + 7s + sS + -1s2 = 12 + -12 + -7s + 7s + s2 + -1s2 Combine like terms: 12 + -12 = 0 -12 + 5S + 7s + sS + -1s2 = 0 + -7s + 7s + s2 + -1s2 -12 + 5S + 7s + sS + -1s2 = -7s + 7s + s2 + -1s2 Combine like terms: -7s + 7s = 0 -12 + 5S + 7s + sS + -1s2 = 0 + s2 + -1s2 -12 + 5S + 7s + sS + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 -12 + 5S + 7s + sS + -1s2 = 0 The solution to this equation could not be determined.
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