(X-1)(X-1)=2x^2+6x+13

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Solution for (X-1)(X-1)=2x^2+6x+13 equation:


Simplifying
(X + -1)(X + -1) = 2x2 + 6x + 13

Reorder the terms:
(-1 + X)(X + -1) = 2x2 + 6x + 13

Reorder the terms:
(-1 + X)(-1 + X) = 2x2 + 6x + 13

Multiply (-1 + X) * (-1 + X)
(-1(-1 + X) + X(-1 + X)) = 2x2 + 6x + 13
((-1 * -1 + X * -1) + X(-1 + X)) = 2x2 + 6x + 13
((1 + -1X) + X(-1 + X)) = 2x2 + 6x + 13
(1 + -1X + (-1 * X + X * X)) = 2x2 + 6x + 13
(1 + -1X + (-1X + X2)) = 2x2 + 6x + 13

Combine like terms: -1X + -1X = -2X
(1 + -2X + X2) = 2x2 + 6x + 13

Reorder the terms:
1 + -2X + X2 = 13 + 6x + 2x2

Solving
1 + -2X + X2 = 13 + 6x + 2x2

Solving for variable 'X'.

Reorder the terms:
1 + -13 + -2X + X2 + -6x + -2x2 = 13 + 6x + 2x2 + -13 + -6x + -2x2

Combine like terms: 1 + -13 = -12
-12 + -2X + X2 + -6x + -2x2 = 13 + 6x + 2x2 + -13 + -6x + -2x2

Reorder the terms:
-12 + -2X + X2 + -6x + -2x2 = 13 + -13 + 6x + -6x + 2x2 + -2x2

Combine like terms: 13 + -13 = 0
-12 + -2X + X2 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
-12 + -2X + X2 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
-12 + -2X + X2 + -6x + -2x2 = 0 + 2x2 + -2x2
-12 + -2X + X2 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + -2X + X2 + -6x + -2x2 = 0

The solution to this equation could not be determined.

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