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Simplifying (11s + 8)(3s + -2) = 0 Reorder the terms: (8 + 11s)(3s + -2) = 0 Reorder the terms: (8 + 11s)(-2 + 3s) = 0 Multiply (8 + 11s) * (-2 + 3s) (8(-2 + 3s) + 11s * (-2 + 3s)) = 0 ((-2 * 8 + 3s * 8) + 11s * (-2 + 3s)) = 0 ((-16 + 24s) + 11s * (-2 + 3s)) = 0 (-16 + 24s + (-2 * 11s + 3s * 11s)) = 0 (-16 + 24s + (-22s + 33s2)) = 0 Combine like terms: 24s + -22s = 2s (-16 + 2s + 33s2) = 0 Solving -16 + 2s + 33s2 = 0 Solving for variable 's'. Factor a trinomial. (-8 + -11s)(2 + -3s) = 0Subproblem 1
Set the factor '(-8 + -11s)' equal to zero and attempt to solve: Simplifying -8 + -11s = 0 Solving -8 + -11s = 0 Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -11s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11s = 0 + 8 -11s = 0 + 8 Combine like terms: 0 + 8 = 8 -11s = 8 Divide each side by '-11'. s = -0.7272727273 Simplifying s = -0.7272727273Subproblem 2
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Solution
s = {-0.7272727273, 0.6666666667}
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