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Simplifying 490s2 + 1680s + 1440 = 0 Reorder the terms: 1440 + 1680s + 490s2 = 0 Solving 1440 + 1680s + 490s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '10'. 10(144 + 168s + 49s2) = 0 Factor a trinomial. 10((12 + 7s)(12 + 7s)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(12 + 7s)' equal to zero and attempt to solve: Simplifying 12 + 7s = 0 Solving 12 + 7s = 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 + 7s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7s = 0 + -12 7s = 0 + -12 Combine like terms: 0 + -12 = -12 7s = -12 Divide each side by '7'. s = -1.714285714 Simplifying s = -1.714285714Subproblem 2
Set the factor '(12 + 7s)' equal to zero and attempt to solve: Simplifying 12 + 7s = 0 Solving 12 + 7s = 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 + 7s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7s = 0 + -12 7s = 0 + -12 Combine like terms: 0 + -12 = -12 7s = -12 Divide each side by '7'. s = -1.714285714 Simplifying s = -1.714285714Solution
s = {-1.714285714, -1.714285714}
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