s^2=14-5s

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Solution for s^2=14-5s equation:


Simplifying
s2 = 14 + -5s

Solving
s2 = 14 + -5s

Solving for variable 's'.

Reorder the terms:
-14 + 5s + s2 = 14 + -5s + -14 + 5s

Reorder the terms:
-14 + 5s + s2 = 14 + -14 + -5s + 5s

Combine like terms: 14 + -14 = 0
-14 + 5s + s2 = 0 + -5s + 5s
-14 + 5s + s2 = -5s + 5s

Combine like terms: -5s + 5s = 0
-14 + 5s + s2 = 0

Factor a trinomial.
(-7 + -1s)(2 + -1s) = 0

Subproblem 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 = -7

Subproblem 2

Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2

Solution

s = {-7, 2}

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