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Simplifying 56s2 + -17s = 3 Reorder the terms: -17s + 56s2 = 3 Solving -17s + 56s2 = 3 Solving for variable 's'. Reorder the terms: -3 + -17s + 56s2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -17s + 56s2 = 0 Factor a trinomial. (-1 + -8s)(3 + -7s) = 0Subproblem 1
Set the factor '(-1 + -8s)' equal to zero and attempt to solve: Simplifying -1 + -8s = 0 Solving -1 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8s = 0 + 1 -8s = 0 + 1 Combine like terms: 0 + 1 = 1 -8s = 1 Divide each side by '-8'. s = -0.125 Simplifying s = -0.125Subproblem 2
Set the factor '(3 + -7s)' equal to zero and attempt to solve: Simplifying 3 + -7s = 0 Solving 3 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7s = 0 + -3 -7s = 0 + -3 Combine like terms: 0 + -3 = -3 -7s = -3 Divide each side by '-7'. s = 0.4285714286 Simplifying s = 0.4285714286Solution
s = {-0.125, 0.4285714286}
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