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Simplifying 15s2 + -46s + 4 = -20 Reorder the terms: 4 + -46s + 15s2 = -20 Solving 4 + -46s + 15s2 = -20 Solving for variable 's'. Reorder the terms: 4 + 20 + -46s + 15s2 = -20 + 20 Combine like terms: 4 + 20 = 24 24 + -46s + 15s2 = -20 + 20 Combine like terms: -20 + 20 = 0 24 + -46s + 15s2 = 0 Factor a trinomial. (2 + -3s)(12 + -5s) = 0Subproblem 1
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Subproblem 2
Set the factor '(12 + -5s)' equal to zero and attempt to solve: Simplifying 12 + -5s = 0 Solving 12 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5s = 0 + -12 -5s = 0 + -12 Combine like terms: 0 + -12 = -12 -5s = -12 Divide each side by '-5'. s = 2.4 Simplifying s = 2.4Solution
s = {0.6666666667, 2.4}
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