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Simplifying 4s2 + 28s + 49 = 0 Reorder the terms: 49 + 28s + 4s2 = 0 Solving 49 + 28s + 4s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + 2s)(7 + 2s) = 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 + 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 = {-3.5, -3.5}
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