Here is one solution for solving x² + 3x+8 = 0 by completing the square, where each
step is shown, but numerical expressions are not evaluated.
x+3x+8=0
x² + 3x = -8
4x² + 4(3x) = 4(-8)
(2x)² + 6(2x) = -32
P² + 6P = -32
p² +6P+3² = -32+3²
(P+3)² = 32-32
P+3= ±√√/3²-32
P= -3± √√/3²-32
2x = -3± √√/3²-32
X=
-3+√32-32
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