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Simplifying 49s2 + 56s + 16 = 0 Reorder the terms: 16 + 56s + 49s2 = 0 Solving 16 + 56s + 49s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + 7s)(4 + 7s) = 0Subproblem 1
Set the factor '(4 + 7s)' equal to zero and attempt to solve: Simplifying 4 + 7s = 0 Solving 4 + 7s = 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 + 7s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7s = 0 + -4 7s = 0 + -4 Combine like terms: 0 + -4 = -4 7s = -4 Divide each side by '7'. s = -0.5714285714 Simplifying s = -0.5714285714Subproblem 2
Set the factor '(4 + 7s)' equal to zero and attempt to solve: Simplifying 4 + 7s = 0 Solving 4 + 7s = 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 + 7s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7s = 0 + -4 7s = 0 + -4 Combine like terms: 0 + -4 = -4 7s = -4 Divide each side by '7'. s = -0.5714285714 Simplifying s = -0.5714285714Solution
s = {-0.5714285714, -0.5714285714}
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