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Simplifying 2s2 + -7s + -14s + 49 = 0 Reorder the terms: 49 + -7s + -14s + 2s2 = 0 Combine like terms: -7s + -14s = -21s 49 + -21s + 2s2 = 0 Solving 49 + -21s + 2s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + -2s)(7 + -1s) = 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 '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {3.5, 7}
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