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

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


Simplifying
X2 + (2m + 1) * x + m2 + -2 = 0

Reorder the terms:
X2 + (1 + 2m) * x + m2 + -2 = 0

Reorder the terms for easier multiplication:
X2 + x(1 + 2m) + m2 + -2 = 0
X2 + (1 * x + 2m * x) + m2 + -2 = 0

Reorder the terms:
X2 + (2mx + 1x) + m2 + -2 = 0
X2 + (2mx + 1x) + m2 + -2 = 0

Reorder the terms:
-2 + X2 + 2mx + m2 + 1x = 0

Solving
-2 + X2 + 2mx + m2 + 1x = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X2 + 2mx + m2 + 2 + 1x = 0 + 2

Reorder the terms:
-2 + 2 + X2 + 2mx + m2 + 1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X2 + 2mx + m2 + 1x = 0 + 2
X2 + 2mx + m2 + 1x = 0 + 2

Combine like terms: 0 + 2 = 2
X2 + 2mx + m2 + 1x = 2

Add '-2mx' to each side of the equation.
X2 + 2mx + m2 + -2mx + 1x = 2 + -2mx

Reorder the terms:
X2 + 2mx + -2mx + m2 + 1x = 2 + -2mx

Combine like terms: 2mx + -2mx = 0
X2 + 0 + m2 + 1x = 2 + -2mx
X2 + m2 + 1x = 2 + -2mx

Add '-1m2' to each side of the equation.
X2 + m2 + -1m2 + 1x = 2 + -2mx + -1m2

Combine like terms: m2 + -1m2 = 0
X2 + 0 + 1x = 2 + -2mx + -1m2
X2 + 1x = 2 + -2mx + -1m2

Add '-1x' to each side of the equation.
X2 + 1x + -1x = 2 + -2mx + -1m2 + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 = 2 + -2mx + -1m2 + -1x
X2 = 2 + -2mx + -1m2 + -1x

Simplifying
X2 = 2 + -2mx + -1m2 + -1x

Reorder the terms:
-2 + X2 + 2mx + m2 + x = 2 + -2mx + -1m2 + -1x + -2 + 2mx + m2 + x

Reorder the terms:
-2 + X2 + 2mx + m2 + x = 2 + -2 + -2mx + 2mx + -1m2 + m2 + -1x + x

Combine like terms: 2 + -2 = 0
-2 + X2 + 2mx + m2 + x = 0 + -2mx + 2mx + -1m2 + m2 + -1x + x
-2 + X2 + 2mx + m2 + x = -2mx + 2mx + -1m2 + m2 + -1x + x

Combine like terms: -2mx + 2mx = 0
-2 + X2 + 2mx + m2 + x = 0 + -1m2 + m2 + -1x + x
-2 + X2 + 2mx + m2 + x = -1m2 + m2 + -1x + x

Combine like terms: -1m2 + m2 = 0
-2 + X2 + 2mx + m2 + x = 0 + -1x + x
-2 + X2 + 2mx + m2 + x = -1x + x

Combine like terms: -1x + x = 0
-2 + X2 + 2mx + m2 + x = 0

The solution to this equation could not be determined.

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