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Simplifying -1(25s2 + 20s + 4) = 0 Reorder the terms: -1(4 + 20s + 25s2) = 0 (4 * -1 + 20s * -1 + 25s2 * -1) = 0 (-4 + -20s + -25s2) = 0 Solving -4 + -20s + -25s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 20s + 25s2) = 0 Factor a trinomial. -1((2 + 5s)(2 + 5s)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 5s)' equal to zero and attempt to solve: Simplifying 2 + 5s = 0 Solving 2 + 5s = 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 + 5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5s = 0 + -2 5s = 0 + -2 Combine like terms: 0 + -2 = -2 5s = -2 Divide each side by '5'. s = -0.4 Simplifying s = -0.4Subproblem 2
Set the factor '(2 + 5s)' equal to zero and attempt to solve: Simplifying 2 + 5s = 0 Solving 2 + 5s = 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 + 5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5s = 0 + -2 5s = 0 + -2 Combine like terms: 0 + -2 = -2 5s = -2 Divide each side by '5'. s = -0.4 Simplifying s = -0.4Solution
s = {-0.4, -0.4}
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