2x^2-(5+m)x+(3+m)=0

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Solution for 2x^2-(5+m)x+(3+m)=0 equation: 


Simplifying
2x2 + -1(5 + m) * x + (3 + m) = 0

Reorder the terms for easier multiplication:
2x2 + -1x(5 + m) + (3 + m) = 0
2x2 + (5 * -1x + m * -1x) + (3 + m) = 0

Reorder the terms:
2x2 + (-1mx + -5x) + (3 + m) = 0
2x2 + (-1mx + -5x) + (3 + m) = 0

Remove parenthesis around (3 + m)
2x2 + -1mx + -5x + 3 + m = 0

Reorder the terms:
3 + m + -1mx + -5x + 2x2 = 0

Solving
3 + m + -1mx + -5x + 2x2 = 0

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + m + -1mx + -5x + -3 + 2x2 = 0 + -3

Reorder the terms:
3 + -3 + m + -1mx + -5x + 2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m + -1mx + -5x + 2x2 = 0 + -3
m + -1mx + -5x + 2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
m + -1mx + -5x + 2x2 = -3

Add '5x' to each side of the equation.
m + -1mx + -5x + 5x + 2x2 = -3 + 5x

Combine like terms: -5x + 5x = 0
m + -1mx + 0 + 2x2 = -3 + 5x
m + -1mx + 2x2 = -3 + 5x

Add '-2x2' to each side of the equation.
m + -1mx + 2x2 + -2x2 = -3 + 5x + -2x2

Combine like terms: 2x2 + -2x2 = 0
m + -1mx + 0 = -3 + 5x + -2x2
m + -1mx = -3 + 5x + -2x2

Reorder the terms:
3 + m + -1mx + -5x + 2x2 = -3 + 5x + -2x2 + 3 + -5x + 2x2

Reorder the terms:
3 + m + -1mx + -5x + 2x2 = -3 + 3 + 5x + -5x + -2x2 + 2x2

Combine like terms: -3 + 3 = 0
3 + m + -1mx + -5x + 2x2 = 0 + 5x + -5x + -2x2 + 2x2
3 + m + -1mx + -5x + 2x2 = 5x + -5x + -2x2 + 2x2

Combine like terms: 5x + -5x = 0
3 + m + -1mx + -5x + 2x2 = 0 + -2x2 + 2x2
3 + m + -1mx + -5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3 + m + -1mx + -5x + 2x2 = 0

The solution to this equation could not be determined.

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