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Simplifying 64s2 + -112s + 49 = 0 Reorder the terms: 49 + -112s + 64s2 = 0 Solving 49 + -112s + 64s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + -8s)(7 + -8s) = 0Subproblem 1
Set the factor '(7 + -8s)' equal to zero and attempt to solve: Simplifying 7 + -8s = 0 Solving 7 + -8s = 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 + -8s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8s = 0 + -7 -8s = 0 + -7 Combine like terms: 0 + -7 = -7 -8s = -7 Divide each side by '-8'. s = 0.875 Simplifying s = 0.875Subproblem 2
Set the factor '(7 + -8s)' equal to zero and attempt to solve: Simplifying 7 + -8s = 0 Solving 7 + -8s = 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 + -8s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8s = 0 + -7 -8s = 0 + -7 Combine like terms: 0 + -7 = -7 -8s = -7 Divide each side by '-8'. s = 0.875 Simplifying s = 0.875Solution
s = {0.875, 0.875}
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