2x^2-(m+1)x+m+3=0

Solution for 2x^2-(m+1)x+m+3=0 equation:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.