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Simplifying
4(s2 + 7) + -9 = 39
Reorder the terms:
4(7 + s2) + -9 = 39
(7 * 4 + s2 * 4) + -9 = 39
(28 + 4s2) + -9 = 39
Reorder the terms:
28 + -9 + 4s2 = 39
Combine like terms: 28 + -9 = 19
19 + 4s2 = 39
Solving
19 + 4s2 = 39
Solving for variable 's'.
Move all terms containing s to the left, all other terms to the right.
Add '-19' to each side of the equation.
19 + -19 + 4s2 = 39 + -19
Combine like terms: 19 + -19 = 0
0 + 4s2 = 39 + -19
4s2 = 39 + -19
Combine like terms: 39 + -19 = 20
4s2 = 20
Divide each side by '4'.
s2 = 5
Simplifying
s2 = 5
Take the square root of each side:
s = {-2.236067978, 2.236067978}
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