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Simplifying (3s + 2)(s + 7) = 0 Reorder the terms: (2 + 3s)(s + 7) = 0 Reorder the terms: (2 + 3s)(7 + s) = 0 Multiply (2 + 3s) * (7 + s) (2(7 + s) + 3s * (7 + s)) = 0 ((7 * 2 + s * 2) + 3s * (7 + s)) = 0 ((14 + 2s) + 3s * (7 + s)) = 0 (14 + 2s + (7 * 3s + s * 3s)) = 0 (14 + 2s + (21s + 3s2)) = 0 Combine like terms: 2s + 21s = 23s (14 + 23s + 3s2) = 0 Solving 14 + 23s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + s)(2 + 3s) = 0Subproblem 1
Set the factor '(7 + s)' equal to zero and attempt to solve: Simplifying 7 + s = 0 Solving 7 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + s = 0 + -7 s = 0 + -7 Combine like terms: 0 + -7 = -7 s = -7 Simplifying s = -7Subproblem 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 = {-7, -0.6666666667}
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