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Simplifying 3s2 + -7s + -21s + 49 = 0 Reorder the terms: 49 + -7s + -21s + 3s2 = 0 Combine like terms: -7s + -21s = -28s 49 + -28s + 3s2 = 0 Solving 49 + -28s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + -3s)(7 + -1s) = 0Subproblem 1
Set the factor '(7 + -3s)' equal to zero and attempt to solve: Simplifying 7 + -3s = 0 Solving 7 + -3s = 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 + -3s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3s = 0 + -7 -3s = 0 + -7 Combine like terms: 0 + -7 = -7 -3s = -7 Divide each side by '-3'. s = 2.333333333 Simplifying s = 2.333333333Subproblem 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 = {2.333333333, 7}
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