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Simplifying 12s2 + -184s + 480 = 0 Reorder the terms: 480 + -184s + 12s2 = 0 Solving 480 + -184s + 12s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(120 + -46s + 3s2) = 0 Factor a trinomial. 4((10 + -3s)(12 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + -3s)' equal to zero and attempt to solve: Simplifying 10 + -3s = 0 Solving 10 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3s = 0 + -10 -3s = 0 + -10 Combine like terms: 0 + -10 = -10 -3s = -10 Divide each side by '-3'. s = 3.333333333 Simplifying s = 3.333333333Subproblem 2
Set the factor '(12 + -1s)' equal to zero and attempt to solve: Simplifying 12 + -1s = 0 Solving 12 + -1s = 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 + -1s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1s = 0 + -12 -1s = 0 + -12 Combine like terms: 0 + -12 = -12 -1s = -12 Divide each side by '-1'. s = 12 Simplifying s = 12Solution
s = {3.333333333, 12}
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