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Simplifying (s * s) + -17s + 70 = 0 Multiply s * s (s2) + -17s + 70 = 0 s2 + -17s + 70 = 0 Reorder the terms: 70 + -17s + s2 = 0 Solving 70 + -17s + s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + -1s)(10 + -1s) = 0Subproblem 1
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 2
Set the factor '(10 + -1s)' equal to zero and attempt to solve: Simplifying 10 + -1s = 0 Solving 10 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1s = 0 + -10 -1s = 0 + -10 Combine like terms: 0 + -10 = -10 -1s = -10 Divide each side by '-1'. s = 10 Simplifying s = 10Solution
s = {7, 10}
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