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Simplifying (6 + -5s)(2 + -1s) = 0 Multiply (6 + -5s) * (2 + -1s) (6(2 + -1s) + -5s * (2 + -1s)) = 0 ((2 * 6 + -1s * 6) + -5s * (2 + -1s)) = 0 ((12 + -6s) + -5s * (2 + -1s)) = 0 (12 + -6s + (2 * -5s + -1s * -5s)) = 0 (12 + -6s + (-10s + 5s2)) = 0 Combine like terms: -6s + -10s = -16s (12 + -16s + 5s2) = 0 Solving 12 + -16s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (6 + -5s)(2 + -1s) = 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 '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 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 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Solution
s = {1.2, 2}
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