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Simplifying -6s2 + -7 = 43s Reorder the terms: -7 + -6s2 = 43s Solving -7 + -6s2 = 43s Solving for variable 's'. Reorder the terms: -7 + -43s + -6s2 = 43s + -43s Combine like terms: 43s + -43s = 0 -7 + -43s + -6s2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 43s + 6s2) = 0 Factor a trinomial. -1((7 + s)(1 + 6s)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + s)' equal to zero and attempt to solve: Simplifying 7 + s = 0 Solving 7 + s = 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 + s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + s = 0 + -7 s = 0 + -7 Combine like terms: 0 + -7 = -7 s = -7 Simplifying s = -7Subproblem 2
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 = -0.1666666667Solution
s = {-7, -0.1666666667}
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