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Simplifying s2 = 14s + -49 Reorder the terms: s2 = -49 + 14s Solving s2 = -49 + 14s Solving for variable 's'. Reorder the terms: 49 + -14s + s2 = -49 + 14s + 49 + -14s Reorder the terms: 49 + -14s + s2 = -49 + 49 + 14s + -14s Combine like terms: -49 + 49 = 0 49 + -14s + s2 = 0 + 14s + -14s 49 + -14s + s2 = 14s + -14s Combine like terms: 14s + -14s = 0 49 + -14s + s2 = 0 Factor a trinomial. (7 + -1s)(7 + -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 '(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 = 7Solution
s = {7, 7}
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