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Simplifying
4s2 + 7 + -9 = 39
Reorder the terms:
7 + -9 + 4s2 = 39
Combine like terms: 7 + -9 = -2
-2 + 4s2 = 39
Solving
-2 + 4s2 = 39
Solving for variable 's'.
Move all terms containing s to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 4s2 = 39 + 2
Combine like terms: -2 + 2 = 0
0 + 4s2 = 39 + 2
4s2 = 39 + 2
Combine like terms: 39 + 2 = 41
4s2 = 41
Divide each side by '4'.
s2 = 10.25
Simplifying
s2 = 10.25
Take the square root of each side:
s = {-3.201562119, 3.201562119}
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