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Simplifying 9s3 + 62s2 + -7s = 0 Reorder the terms: -7s + 62s2 + 9s3 = 0 Solving -7s + 62s2 + 9s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-7 + 62s + 9s2) = 0 Factor a trinomial. s((-7 + -1s)(1 + -9s)) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(-7 + -1s)' equal to zero and attempt to solve: Simplifying -7 + -1s = 0 Solving -7 + -1s = 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 + -1s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1s = 0 + 7 -1s = 0 + 7 Combine like terms: 0 + 7 = 7 -1s = 7 Divide each side by '-1'. s = -7 Simplifying s = -7Subproblem 3
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 = 0.1111111111Solution
s = {0, -7, 0.1111111111}
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