x^2+2x+(8-m)=0

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Solution for x^2+2x+(8-m)=0 equation:


Simplifying
x2 + 2x + (8 + -1m) = 0

Remove parenthesis around (8 + -1m)
x2 + 2x + 8 + -1m = 0

Reorder the terms:
8 + -1m + 2x + x2 = 0

Solving
8 + -1m + 2x + x2 = 0

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + -1m + 2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -1m + 2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m + 2x + x2 = 0 + -8
-1m + 2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1m + 2x + x2 = -8

Add '-2x' to each side of the equation.
-1m + 2x + -2x + x2 = -8 + -2x

Combine like terms: 2x + -2x = 0
-1m + 0 + x2 = -8 + -2x
-1m + x2 = -8 + -2x

Add '-1x2' to each side of the equation.
-1m + x2 + -1x2 = -8 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
-1m + 0 = -8 + -2x + -1x2
-1m = -8 + -2x + -1x2

Divide each side by '-1'.
m = 8 + 2x + x2

Simplifying
m = 8 + 2x + x2

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