X-2x+1=x^2-49

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Solution for X-2x+1=x^2-49 equation:


Simplifying
X + -2x + 1 = x2 + -49

Reorder the terms:
1 + X + -2x = x2 + -49

Reorder the terms:
1 + X + -2x = -49 + x2

Solving
1 + X + -2x = -49 + x2

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 + X + -1 + -2x = -49 + -1 + x2

Reorder the terms:
1 + -1 + X + -2x = -49 + -1 + x2

Combine like terms: 1 + -1 = 0
0 + X + -2x = -49 + -1 + x2
X + -2x = -49 + -1 + x2

Combine like terms: -49 + -1 = -50
X + -2x = -50 + x2

Add '2x' to each side of the equation.
X + -2x + 2x = -50 + 2x + x2

Combine like terms: -2x + 2x = 0
X + 0 = -50 + 2x + x2
X = -50 + 2x + x2

Simplifying
X = -50 + 2x + x2

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