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Simplifying s2 + -3(s2 + s) = -2(s2 + -4s + 5) Reorder the terms: s2 + -3(s + s2) = -2(s2 + -4s + 5) s2 + (s * -3 + s2 * -3) = -2(s2 + -4s + 5) s2 + (-3s + -3s2) = -2(s2 + -4s + 5) Reorder the terms: -3s + s2 + -3s2 = -2(s2 + -4s + 5) Combine like terms: s2 + -3s2 = -2s2 -3s + -2s2 = -2(s2 + -4s + 5) Reorder the terms: -3s + -2s2 = -2(5 + -4s + s2) -3s + -2s2 = (5 * -2 + -4s * -2 + s2 * -2) -3s + -2s2 = (-10 + 8s + -2s2) Add '2s2' to each side of the equation. -3s + -2s2 + 2s2 = -10 + 8s + -2s2 + 2s2 Combine like terms: -2s2 + 2s2 = 0 -3s + 0 = -10 + 8s + -2s2 + 2s2 -3s = -10 + 8s + -2s2 + 2s2 Combine like terms: -2s2 + 2s2 = 0 -3s = -10 + 8s + 0 -3s = -10 + 8s Solving -3s = -10 + 8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-8s' to each side of the equation. -3s + -8s = -10 + 8s + -8s Combine like terms: -3s + -8s = -11s -11s = -10 + 8s + -8s Combine like terms: 8s + -8s = 0 -11s = -10 + 0 -11s = -10 Divide each side by '-11'. s = 0.9090909091 Simplifying s = 0.9090909091
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