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Simplifying (s + 9)(7s + -3) = 0 Reorder the terms: (9 + s)(7s + -3) = 0 Reorder the terms: (9 + s)(-3 + 7s) = 0 Multiply (9 + s) * (-3 + 7s) (9(-3 + 7s) + s(-3 + 7s)) = 0 ((-3 * 9 + 7s * 9) + s(-3 + 7s)) = 0 ((-27 + 63s) + s(-3 + 7s)) = 0 (-27 + 63s + (-3 * s + 7s * s)) = 0 (-27 + 63s + (-3s + 7s2)) = 0 Combine like terms: 63s + -3s = 60s (-27 + 60s + 7s2) = 0 Solving -27 + 60s + 7s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -1s)(3 + -7s) = 0Subproblem 1
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 = -9Subproblem 2
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 = {-9, 0.4285714286}
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