X^2+6x-27=x^2+1

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Solution for X^2+6x-27=x^2+1 equation:


Simplifying
X2 + 6x + -27 = x2 + 1

Reorder the terms:
-27 + X2 + 6x = x2 + 1

Reorder the terms:
-27 + X2 + 6x = 1 + x2

Solving
-27 + X2 + 6x = 1 + x2

Solving for variable 'X'.

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

Add '27' to each side of the equation.
-27 + X2 + 27 + 6x = 1 + 27 + x2

Reorder the terms:
-27 + 27 + X2 + 6x = 1 + 27 + x2

Combine like terms: -27 + 27 = 0
0 + X2 + 6x = 1 + 27 + x2
X2 + 6x = 1 + 27 + x2

Combine like terms: 1 + 27 = 28
X2 + 6x = 28 + x2

Add '-6x' to each side of the equation.
X2 + 6x + -6x = 28 + -6x + x2

Combine like terms: 6x + -6x = 0
X2 + 0 = 28 + -6x + x2
X2 = 28 + -6x + x2

Simplifying
X2 = 28 + -6x + x2

Reorder the terms:
-28 + X2 + 6x + -1x2 = 28 + -6x + x2 + -28 + 6x + -1x2

Reorder the terms:
-28 + X2 + 6x + -1x2 = 28 + -28 + -6x + 6x + x2 + -1x2

Combine like terms: 28 + -28 = 0
-28 + X2 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2
-28 + X2 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
-28 + X2 + 6x + -1x2 = 0 + x2 + -1x2
-28 + X2 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + X2 + 6x + -1x2 = 0

The solution to this equation could not be determined.

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