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Simplifying (15 + -2s)(15 + -2s) = 0 Multiply (15 + -2s) * (15 + -2s) (15(15 + -2s) + -2s * (15 + -2s)) = 0 ((15 * 15 + -2s * 15) + -2s * (15 + -2s)) = 0 ((225 + -30s) + -2s * (15 + -2s)) = 0 (225 + -30s + (15 * -2s + -2s * -2s)) = 0 (225 + -30s + (-30s + 4s2)) = 0 Combine like terms: -30s + -30s = -60s (225 + -60s + 4s2) = 0 Solving 225 + -60s + 4s2 = 0 Solving for variable 's'. Factor a trinomial. (15 + -2s)(15 + -2s) = 0Subproblem 1
Set the factor '(15 + -2s)' equal to zero and attempt to solve: Simplifying 15 + -2s = 0 Solving 15 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2s = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2s = 0 + -15 -2s = 0 + -15 Combine like terms: 0 + -15 = -15 -2s = -15 Divide each side by '-2'. s = 7.5 Simplifying s = 7.5Subproblem 2
Set the factor '(15 + -2s)' equal to zero and attempt to solve: Simplifying 15 + -2s = 0 Solving 15 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2s = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2s = 0 + -15 -2s = 0 + -15 Combine like terms: 0 + -15 = -15 -2s = -15 Divide each side by '-2'. s = 7.5 Simplifying s = 7.5Solution
s = {7.5, 7.5}
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