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Simplifying 42s2 + s + -30 = 0 Reorder the terms: -30 + s + 42s2 = 0 Solving -30 + s + 42s2 = 0 Solving for variable 's'. Factor a trinomial. (-6 + -7s)(5 + -6s) = 0Subproblem 1
Set the factor '(-6 + -7s)' equal to zero and attempt to solve: Simplifying -6 + -7s = 0 Solving -6 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7s = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7s = 0 + 6 -7s = 0 + 6 Combine like terms: 0 + 6 = 6 -7s = 6 Divide each side by '-7'. s = -0.8571428571 Simplifying s = -0.8571428571Subproblem 2
Set the factor '(5 + -6s)' equal to zero and attempt to solve: Simplifying 5 + -6s = 0 Solving 5 + -6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6s = 0 + -5 -6s = 0 + -5 Combine like terms: 0 + -5 = -5 -6s = -5 Divide each side by '-6'. s = 0.8333333333 Simplifying s = 0.8333333333Solution
s = {-0.8571428571, 0.8333333333}
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