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