x^2-2(5+m)x+(8+m)=0

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Solution for x^2-2(5+m)x+(8+m)=0 equation:


Simplifying
x2 + -2(5 + m) * x + (8 + m) = 0

Reorder the terms for easier multiplication:
x2 + -2x(5 + m) + (8 + m) = 0
x2 + (5 * -2x + m * -2x) + (8 + m) = 0

Reorder the terms:
x2 + (-2mx + -10x) + (8 + m) = 0
x2 + (-2mx + -10x) + (8 + m) = 0

Remove parenthesis around (8 + m)
x2 + -2mx + -10x + 8 + m = 0

Reorder the terms:
8 + m + -2mx + -10x + x2 = 0

Solving
8 + m + -2mx + -10x + 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 + m + -2mx + -10x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + m + -2mx + -10x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m + -2mx + -10x + x2 = 0 + -8
m + -2mx + -10x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
m + -2mx + -10x + x2 = -8

Add '10x' to each side of the equation.
m + -2mx + -10x + 10x + x2 = -8 + 10x

Combine like terms: -10x + 10x = 0
m + -2mx + 0 + x2 = -8 + 10x
m + -2mx + x2 = -8 + 10x

Add '-1x2' to each side of the equation.
m + -2mx + x2 + -1x2 = -8 + 10x + -1x2

Combine like terms: x2 + -1x2 = 0
m + -2mx + 0 = -8 + 10x + -1x2
m + -2mx = -8 + 10x + -1x2

Reorder the terms:
8 + m + -2mx + -10x + x2 = -8 + 10x + -1x2 + 8 + -10x + x2

Reorder the terms:
8 + m + -2mx + -10x + x2 = -8 + 8 + 10x + -10x + -1x2 + x2

Combine like terms: -8 + 8 = 0
8 + m + -2mx + -10x + x2 = 0 + 10x + -10x + -1x2 + x2
8 + m + -2mx + -10x + x2 = 10x + -10x + -1x2 + x2

Combine like terms: 10x + -10x = 0
8 + m + -2mx + -10x + x2 = 0 + -1x2 + x2
8 + m + -2mx + -10x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
8 + m + -2mx + -10x + x2 = 0

The solution to this equation could not be determined.

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