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Simplifying s2 + -17s + -60 = (s + -5)(s + -12) Reorder the terms: -60 + -17s + s2 = (s + -5)(s + -12) Reorder the terms: -60 + -17s + s2 = (-5 + s)(s + -12) Reorder the terms: -60 + -17s + s2 = (-5 + s)(-12 + s) Multiply (-5 + s) * (-12 + s) -60 + -17s + s2 = (-5(-12 + s) + s(-12 + s)) -60 + -17s + s2 = ((-12 * -5 + s * -5) + s(-12 + s)) -60 + -17s + s2 = ((60 + -5s) + s(-12 + s)) -60 + -17s + s2 = (60 + -5s + (-12 * s + s * s)) -60 + -17s + s2 = (60 + -5s + (-12s + s2)) Combine like terms: -5s + -12s = -17s -60 + -17s + s2 = (60 + -17s + s2) Add '17s' to each side of the equation. -60 + -17s + 17s + s2 = 60 + -17s + 17s + s2 Combine like terms: -17s + 17s = 0 -60 + 0 + s2 = 60 + -17s + 17s + s2 -60 + s2 = 60 + -17s + 17s + s2 Combine like terms: -17s + 17s = 0 -60 + s2 = 60 + 0 + s2 -60 + s2 = 60 + s2 Add '-1s2' to each side of the equation. -60 + s2 + -1s2 = 60 + s2 + -1s2 Combine like terms: s2 + -1s2 = 0 -60 + 0 = 60 + s2 + -1s2 -60 = 60 + s2 + -1s2 Combine like terms: s2 + -1s2 = 0 -60 = 60 + 0 -60 = 60 Solving -60 = 60 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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