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Simplifying 3s(7s + -3)(3s + -1) = 0 Reorder the terms: 3s(-3 + 7s)(3s + -1) = 0 Reorder the terms: 3s(-3 + 7s)(-1 + 3s) = 0 Multiply (-3 + 7s) * (-1 + 3s) 3s(-3(-1 + 3s) + 7s * (-1 + 3s)) = 0 3s((-1 * -3 + 3s * -3) + 7s * (-1 + 3s)) = 0 3s((3 + -9s) + 7s * (-1 + 3s)) = 0 3s(3 + -9s + (-1 * 7s + 3s * 7s)) = 0 3s(3 + -9s + (-7s + 21s2)) = 0 Combine like terms: -9s + -7s = -16s 3s(3 + -16s + 21s2) = 0 (3 * 3s + -16s * 3s + 21s2 * 3s) = 0 (9s + -48s2 + 63s3) = 0 Solving 9s + -48s2 + 63s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(3 + -16s + 21s2) = 0 Factor a trinomial. 3s((1 + -3s)(3 + -7s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve: Simplifying 1 + -3s = 0 Solving 1 + -3s = 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 + -3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s = 0 + -1 -3s = 0 + -1 Combine like terms: 0 + -1 = -1 -3s = -1 Divide each side by '-3'. s = 0.3333333333 Simplifying s = 0.3333333333Subproblem 3
Set the factor '(3 + -7s)' equal to zero and attempt to solve: Simplifying 3 + -7s = 0 Solving 3 + -7s = 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 + -7s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7s = 0 + -3 -7s = 0 + -3 Combine like terms: 0 + -3 = -3 -7s = -3 Divide each side by '-7'. s = 0.4285714286 Simplifying s = 0.4285714286Solution
s = {0, 0.3333333333, 0.4285714286}
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