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Simplifying -115s = -15s2 + -70 Reorder the terms: -115s = -70 + -15s2 Solving -115s = -70 + -15s2 Solving for variable 's'. Reorder the terms: 70 + -115s + 15s2 = -70 + -15s2 + 70 + 15s2 Reorder the terms: 70 + -115s + 15s2 = -70 + 70 + -15s2 + 15s2 Combine like terms: -70 + 70 = 0 70 + -115s + 15s2 = 0 + -15s2 + 15s2 70 + -115s + 15s2 = -15s2 + 15s2 Combine like terms: -15s2 + 15s2 = 0 70 + -115s + 15s2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(14 + -23s + 3s2) = 0 Factor a trinomial. 5((2 + -3s)(7 + -1s)) = 0 Ignore the factor 5.Subproblem 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 '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {0.6666666667, 7}
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