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Simplifying 21s2 + -27s + 28s + -36 = 0 Reorder the terms: -36 + -27s + 28s + 21s2 = 0 Combine like terms: -27s + 28s = 1s -36 + 1s + 21s2 = 0 Solving -36 + 1s + 21s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -3s)(9 + -7s) = 0Subproblem 1
Set the factor '(-4 + -3s)' equal to zero and attempt to solve: Simplifying -4 + -3s = 0 Solving -4 + -3s = 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 + -3s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3s = 0 + 4 -3s = 0 + 4 Combine like terms: 0 + 4 = 4 -3s = 4 Divide each side by '-3'. s = -1.333333333 Simplifying s = -1.333333333Subproblem 2
Set the factor '(9 + -7s)' equal to zero and attempt to solve: Simplifying 9 + -7s = 0 Solving 9 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7s = 0 + -9 -7s = 0 + -9 Combine like terms: 0 + -9 = -9 -7s = -9 Divide each side by '-7'. s = 1.285714286 Simplifying s = 1.285714286Solution
s = {-1.333333333, 1.285714286}
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