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Simplifying 24s2 + -38s + -7 = 0 Reorder the terms: -7 + -38s + 24s2 = 0 Solving -7 + -38s + 24s2 = 0 Solving for variable 's'. Factor a trinomial. (-1 + -6s)(7 + -4s) = 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 + -4s)' equal to zero and attempt to solve: Simplifying 7 + -4s = 0 Solving 7 + -4s = 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 + -4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4s = 0 + -7 -4s = 0 + -7 Combine like terms: 0 + -7 = -7 -4s = -7 Divide each side by '-4'. s = 1.75 Simplifying s = 1.75Solution
s = {-0.1666666667, 1.75}
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