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

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


Simplifying
X2 + x + -1(2k + -1) = 0

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

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

Solving
1 + X2 + -2k + x = 0

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

Simplifying
X2 = -1 + 2k + -1x

Reorder the terms:
1 + X2 + -2k + x = -1 + 2k + -1x + 1 + -2k + x

Reorder the terms:
1 + X2 + -2k + x = -1 + 1 + 2k + -2k + -1x + x

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

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

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

The solution to this equation could not be determined.

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