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Simplifying 0 = 10s2 + 27s + -28 Reorder the terms: 0 = -28 + 27s + 10s2 Solving 0 = -28 + 27s + 10s2 Solving for variable 's'. Combine like terms: 0 + 28 = 28 28 + -27s + -10s2 = -28 + 27s + 10s2 + 28 + -27s + -10s2 Reorder the terms: 28 + -27s + -10s2 = -28 + 28 + 27s + -27s + 10s2 + -10s2 Combine like terms: -28 + 28 = 0 28 + -27s + -10s2 = 0 + 27s + -27s + 10s2 + -10s2 28 + -27s + -10s2 = 27s + -27s + 10s2 + -10s2 Combine like terms: 27s + -27s = 0 28 + -27s + -10s2 = 0 + 10s2 + -10s2 28 + -27s + -10s2 = 10s2 + -10s2 Combine like terms: 10s2 + -10s2 = 0 28 + -27s + -10s2 = 0 Factor a trinomial. (4 + -5s)(7 + 2s) = 0Subproblem 1
Set the factor '(4 + -5s)' equal to zero and attempt to solve: Simplifying 4 + -5s = 0 Solving 4 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5s = 0 + -4 -5s = 0 + -4 Combine like terms: 0 + -4 = -4 -5s = -4 Divide each side by '-5'. s = 0.8 Simplifying s = 0.8Subproblem 2
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 = -3.5Solution
s = {0.8, -3.5}
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