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Simplifying (6s + -54)(54s + -6) = 0 Reorder the terms: (-54 + 6s)(54s + -6) = 0 Reorder the terms: (-54 + 6s)(-6 + 54s) = 0 Multiply (-54 + 6s) * (-6 + 54s) (-54(-6 + 54s) + 6s * (-6 + 54s)) = 0 ((-6 * -54 + 54s * -54) + 6s * (-6 + 54s)) = 0 ((324 + -2916s) + 6s * (-6 + 54s)) = 0 (324 + -2916s + (-6 * 6s + 54s * 6s)) = 0 (324 + -2916s + (-36s + 324s2)) = 0 Combine like terms: -2916s + -36s = -2952s (324 + -2952s + 324s2) = 0 Solving 324 + -2952s + 324s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '36'. 36(9 + -82s + 9s2) = 0 Factor a trinomial. 36((1 + -9s)(9 + -1s)) = 0 Ignore the factor 36.Subproblem 1
Set the factor '(1 + -9s)' equal to zero and attempt to solve: Simplifying 1 + -9s = 0 Solving 1 + -9s = 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 + -9s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9s = 0 + -1 -9s = 0 + -1 Combine like terms: 0 + -1 = -1 -9s = -1 Divide each side by '-9'. s = 0.1111111111 Simplifying s = 0.1111111111Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 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 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {0.1111111111, 9}
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