X^2+3x-27=x^2+2x+1

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Solution for X^2+3x-27=x^2+2x+1 equation:


Simplifying
X2 + 3x + -27 = x2 + 2x + 1

Reorder the terms:
-27 + X2 + 3x = x2 + 2x + 1

Reorder the terms:
-27 + X2 + 3x = 1 + 2x + x2

Solving
-27 + X2 + 3x = 1 + 2x + 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 + 3x = 1 + 2x + 27 + x2

Reorder the terms:
-27 + 27 + X2 + 3x = 1 + 2x + 27 + x2

Combine like terms: -27 + 27 = 0
0 + X2 + 3x = 1 + 2x + 27 + x2
X2 + 3x = 1 + 2x + 27 + x2

Reorder the terms:
X2 + 3x = 1 + 27 + 2x + x2

Combine like terms: 1 + 27 = 28
X2 + 3x = 28 + 2x + x2

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 28 + 2x + -3x + x2

Combine like terms: 3x + -3x = 0
X2 + 0 = 28 + 2x + -3x + x2
X2 = 28 + 2x + -3x + x2

Combine like terms: 2x + -3x = -1x
X2 = 28 + -1x + x2

Simplifying
X2 = 28 + -1x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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