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Simplifying (2s + -1)(2s + -1) = 0 Reorder the terms: (-1 + 2s)(2s + -1) = 0 Reorder the terms: (-1 + 2s)(-1 + 2s) = 0 Multiply (-1 + 2s) * (-1 + 2s) (-1(-1 + 2s) + 2s * (-1 + 2s)) = 0 ((-1 * -1 + 2s * -1) + 2s * (-1 + 2s)) = 0 ((1 + -2s) + 2s * (-1 + 2s)) = 0 (1 + -2s + (-1 * 2s + 2s * 2s)) = 0 (1 + -2s + (-2s + 4s2)) = 0 Combine like terms: -2s + -2s = -4s (1 + -4s + 4s2) = 0 Solving 1 + -4s + 4s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -2s)(1 + -2s) = 0Subproblem 1
Set the factor '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Divide each side by '-2'. s = 0.5 Simplifying s = 0.5Subproblem 2
Set the factor '(1 + -2s)' equal to zero and attempt to solve: Simplifying 1 + -2s = 0 Solving 1 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = 0 + -1 -2s = 0 + -1 Combine like terms: 0 + -1 = -1 -2s = -1 Divide each side by '-2'. s = 0.5 Simplifying s = 0.5Solution
s = {0.5, 0.5}
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