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Simplifying 24s(s + -3) + 14 = -22 + -1s(s + 12) Reorder the terms: 24s(-3 + s) + 14 = -22 + -1s(s + 12) (-3 * 24s + s * 24s) + 14 = -22 + -1s(s + 12) (-72s + 24s2) + 14 = -22 + -1s(s + 12) Reorder the terms: 14 + -72s + 24s2 = -22 + -1s(s + 12) Reorder the terms: 14 + -72s + 24s2 = -22 + -1s(12 + s) 14 + -72s + 24s2 = -22 + (12 * -1s + s * -1s) 14 + -72s + 24s2 = -22 + (-12s + -1s2) Solving 14 + -72s + 24s2 = -22 + -12s + -1s2 Solving for variable 's'. Reorder the terms: 14 + 22 + -72s + 12s + 24s2 + s2 = -22 + -12s + -1s2 + 22 + 12s + s2 Combine like terms: 14 + 22 = 36 36 + -72s + 12s + 24s2 + s2 = -22 + -12s + -1s2 + 22 + 12s + s2 Combine like terms: -72s + 12s = -60s 36 + -60s + 24s2 + s2 = -22 + -12s + -1s2 + 22 + 12s + s2 Combine like terms: 24s2 + s2 = 25s2 36 + -60s + 25s2 = -22 + -12s + -1s2 + 22 + 12s + s2 Reorder the terms: 36 + -60s + 25s2 = -22 + 22 + -12s + 12s + -1s2 + s2 Combine like terms: -22 + 22 = 0 36 + -60s + 25s2 = 0 + -12s + 12s + -1s2 + s2 36 + -60s + 25s2 = -12s + 12s + -1s2 + s2 Combine like terms: -12s + 12s = 0 36 + -60s + 25s2 = 0 + -1s2 + s2 36 + -60s + 25s2 = -1s2 + s2 Combine like terms: -1s2 + s2 = 0 36 + -60s + 25s2 = 0 Factor a trinomial. (6 + -5s)(6 + -5s) = 0Subproblem 1
Set the factor '(6 + -5s)' equal to zero and attempt to solve: Simplifying 6 + -5s = 0 Solving 6 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5s = 0 + -6 -5s = 0 + -6 Combine like terms: 0 + -6 = -6 -5s = -6 Divide each side by '-5'. s = 1.2 Simplifying s = 1.2Subproblem 2
Set the factor '(6 + -5s)' equal to zero and attempt to solve: Simplifying 6 + -5s = 0 Solving 6 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5s = 0 + -6 -5s = 0 + -6 Combine like terms: 0 + -6 = -6 -5s = -6 Divide each side by '-5'. s = 1.2 Simplifying s = 1.2Solution
s = {1.2, 1.2}
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