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Simplifying 49s2 + 112s = -64 Reorder the terms: 112s + 49s2 = -64 Solving 112s + 49s2 = -64 Solving for variable 's'. Reorder the terms: 64 + 112s + 49s2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + 112s + 49s2 = 0 Factor a trinomial. (8 + 7s)(8 + 7s) = 0Subproblem 1
Set the factor '(8 + 7s)' equal to zero and attempt to solve: Simplifying 8 + 7s = 0 Solving 8 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7s = 0 + -8 7s = 0 + -8 Combine like terms: 0 + -8 = -8 7s = -8 Divide each side by '7'. s = -1.142857143 Simplifying s = -1.142857143Subproblem 2
Set the factor '(8 + 7s)' equal to zero and attempt to solve: Simplifying 8 + 7s = 0 Solving 8 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7s = 0 + -8 7s = 0 + -8 Combine like terms: 0 + -8 = -8 7s = -8 Divide each side by '7'. s = -1.142857143 Simplifying s = -1.142857143Solution
s = {-1.142857143, -1.142857143}
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