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Simplifying 7 + -43s = -6s2 Solving 7 + -43s = -6s2 Solving for variable 's'. Combine like terms: -6s2 + 6s2 = 0 7 + -43s + 6s2 = 0 Factor a trinomial. (1 + -6s)(7 + -1s) = 0Subproblem 1
Set the factor '(1 + -6s)' equal to zero and attempt to solve: Simplifying 1 + -6s = 0 Solving 1 + -6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6s = 0 + -1 -6s = 0 + -1 Combine like terms: 0 + -1 = -1 -6s = -1 Divide each side by '-6'. s = 0.1666666667 Simplifying s = 0.1666666667Subproblem 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 = {0.1666666667, 7}
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