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Simplifying [(5s + 8) + 5][(5s + 8) + -5] = 0 Reorder the terms: [(8 + 5s) + 5][(5s + 8) + -5] = 0 Remove parenthesis around (8 + 5s) [8 + 5s + 5][(5s + 8) + -5] = 0 Reorder the terms: [8 + 5 + 5s][(5s + 8) + -5] = 0 Combine like terms: 8 + 5 = 13 [13 + 5s][(5s + 8) + -5] = 0 Reorder the terms: [13 + 5s][(8 + 5s) + -5] = 0 Remove parenthesis around (8 + 5s) [13 + 5s][8 + 5s + -5] = 0 Reorder the terms: [13 + 5s][8 + -5 + 5s] = 0 Combine like terms: 8 + -5 = 3 [13 + 5s][3 + 5s] = 0 Multiply [13 + 5s] * [3 + 5s] [13[3 + 5s] + 5s * [3 + 5s]] = 0 [[3 * 13 + 5s * 13] + 5s * [3 + 5s]] = 0 [[39 + 65s] + 5s * [3 + 5s]] = 0 [39 + 65s + [3 * 5s + 5s * 5s]] = 0 [39 + 65s + [15s + 25s2]] = 0 Combine like terms: 65s + 15s = 80s [39 + 80s + 25s2] = 0 Solving 39 + 80s + 25s2 = 0 Solving for variable 's'. Factor a trinomial. (13 + 5s)(3 + 5s) = 0Subproblem 1
Set the factor '(13 + 5s)' equal to zero and attempt to solve: Simplifying 13 + 5s = 0 Solving 13 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5s = 0 + -13 5s = 0 + -13 Combine like terms: 0 + -13 = -13 5s = -13 Divide each side by '5'. s = -2.6 Simplifying s = -2.6Subproblem 2
Set the factor '(3 + 5s)' equal to zero and attempt to solve: Simplifying 3 + 5s = 0 Solving 3 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5s = 0 + -3 5s = 0 + -3 Combine like terms: 0 + -3 = -3 5s = -3 Divide each side by '5'. s = -0.6 Simplifying s = -0.6Solution
s = {-2.6, -0.6}
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