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Simplifying (5s + 7)(5s + 7) = 0 Reorder the terms: (7 + 5s)(5s + 7) = 0 Reorder the terms: (7 + 5s)(7 + 5s) = 0 Multiply (7 + 5s) * (7 + 5s) (7(7 + 5s) + 5s * (7 + 5s)) = 0 ((7 * 7 + 5s * 7) + 5s * (7 + 5s)) = 0 ((49 + 35s) + 5s * (7 + 5s)) = 0 (49 + 35s + (7 * 5s + 5s * 5s)) = 0 (49 + 35s + (35s + 25s2)) = 0 Combine like terms: 35s + 35s = 70s (49 + 70s + 25s2) = 0 Solving 49 + 70s + 25s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + 5s)(7 + 5s) = 0Subproblem 1
Set the factor '(7 + 5s)' equal to zero and attempt to solve: Simplifying 7 + 5s = 0 Solving 7 + 5s = 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 + 5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5s = 0 + -7 5s = 0 + -7 Combine like terms: 0 + -7 = -7 5s = -7 Divide each side by '5'. s = -1.4 Simplifying s = -1.4Subproblem 2
Set the factor '(7 + 5s)' equal to zero and attempt to solve: Simplifying 7 + 5s = 0 Solving 7 + 5s = 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 + 5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5s = 0 + -7 5s = 0 + -7 Combine like terms: 0 + -7 = -7 5s = -7 Divide each side by '5'. s = -1.4 Simplifying s = -1.4Solution
s = {-1.4, -1.4}
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