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Simplifying 45s2 + -210s + 245 = 0 Reorder the terms: 245 + -210s + 45s2 = 0 Solving 245 + -210s + 45s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(49 + -42s + 9s2) = 0 Factor a trinomial. 5((7 + -3s)(7 + -3s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + -3s)' equal to zero and attempt to solve: Simplifying 7 + -3s = 0 Solving 7 + -3s = 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 + -3s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3s = 0 + -7 -3s = 0 + -7 Combine like terms: 0 + -7 = -7 -3s = -7 Divide each side by '-3'. s = 2.333333333 Simplifying s = 2.333333333Subproblem 2
Set the factor '(7 + -3s)' equal to zero and attempt to solve: Simplifying 7 + -3s = 0 Solving 7 + -3s = 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 + -3s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3s = 0 + -7 -3s = 0 + -7 Combine like terms: 0 + -7 = -7 -3s = -7 Divide each side by '-3'. s = 2.333333333 Simplifying s = 2.333333333Solution
s = {2.333333333, 2.333333333}
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