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Simplifying (13s + 9)(4s + -12) = 0 Reorder the terms: (9 + 13s)(4s + -12) = 0 Reorder the terms: (9 + 13s)(-12 + 4s) = 0 Multiply (9 + 13s) * (-12 + 4s) (9(-12 + 4s) + 13s * (-12 + 4s)) = 0 ((-12 * 9 + 4s * 9) + 13s * (-12 + 4s)) = 0 ((-108 + 36s) + 13s * (-12 + 4s)) = 0 (-108 + 36s + (-12 * 13s + 4s * 13s)) = 0 (-108 + 36s + (-156s + 52s2)) = 0 Combine like terms: 36s + -156s = -120s (-108 + -120s + 52s2) = 0 Solving -108 + -120s + 52s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(-27 + -30s + 13s2) = 0 Factor a trinomial. 4((-9 + -13s)(3 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + -13s)' equal to zero and attempt to solve: Simplifying -9 + -13s = 0 Solving -9 + -13s = 0 Move all terms containing s to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -13s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -13s = 0 + 9 -13s = 0 + 9 Combine like terms: 0 + 9 = 9 -13s = 9 Divide each side by '-13'. s = -0.6923076923 Simplifying s = -0.6923076923Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.6923076923, 3}
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