s(s+2)+5=3+s^2

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Solution for s(s+2)+5=3+s^2 equation:


Simplifying
s(s + 2) + 5 = 3 + s2

Reorder the terms:
s(2 + s) + 5 = 3 + s2
(2 * s + s * s) + 5 = 3 + s2
(2s + s2) + 5 = 3 + s2

Reorder the terms:
5 + 2s + s2 = 3 + s2

Add '-1s2' to each side of the equation.
5 + 2s + s2 + -1s2 = 3 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
5 + 2s + 0 = 3 + s2 + -1s2
5 + 2s = 3 + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
5 + 2s = 3 + 0
5 + 2s = 3

Solving
5 + 2s = 3

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 2s = 3 + -5

Combine like terms: 5 + -5 = 0
0 + 2s = 3 + -5
2s = 3 + -5

Combine like terms: 3 + -5 = -2
2s = -2

Divide each side by '2'.
s = -1

Simplifying
s = -1

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