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Simplifying 6s2 + 21s = 10s + 35 Reorder the terms: 21s + 6s2 = 10s + 35 Reorder the terms: 21s + 6s2 = 35 + 10s Solving 21s + 6s2 = 35 + 10s Solving for variable 's'. Reorder the terms: -35 + 21s + -10s + 6s2 = 35 + 10s + -35 + -10s Combine like terms: 21s + -10s = 11s -35 + 11s + 6s2 = 35 + 10s + -35 + -10s Reorder the terms: -35 + 11s + 6s2 = 35 + -35 + 10s + -10s Combine like terms: 35 + -35 = 0 -35 + 11s + 6s2 = 0 + 10s + -10s -35 + 11s + 6s2 = 10s + -10s Combine like terms: 10s + -10s = 0 -35 + 11s + 6s2 = 0 Factor a trinomial. (-7 + -2s)(5 + -3s) = 0Subproblem 1
Set the factor '(-7 + -2s)' equal to zero and attempt to solve: Simplifying -7 + -2s = 0 Solving -7 + -2s = 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 + -2s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2s = 0 + 7 -2s = 0 + 7 Combine like terms: 0 + 7 = 7 -2s = 7 Divide each side by '-2'. s = -3.5 Simplifying s = -3.5Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {-3.5, 1.666666667}
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