X^2-2x+3x-27=105

Solution for X^2-2x+3x-27=105 equation:

Simplifying
X2 + -2x + 3x + -27 = 105

Reorder the terms:
-27 + X2 + -2x + 3x = 105

Combine like terms: -2x + 3x = 1x
-27 + X2 + 1x = 105

Solving
-27 + X2 + 1x = 105

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 + 1x = 105 + 27

Reorder the terms:
-27 + 27 + X2 + 1x = 105 + 27

Combine like terms: -27 + 27 = 0
0 + X2 + 1x = 105 + 27
X2 + 1x = 105 + 27

Combine like terms: 105 + 27 = 132
X2 + 1x = 132

Add '-1x' to each side of the equation.
X2 + 1x + -1x = 132 + -1x

Combine like terms: 1x + -1x = 0
X2 + 0 = 132 + -1x
X2 = 132 + -1x

Simplifying
X2 = 132 + -1x

Reorder the terms:
-132 + X2 + x = 132 + -1x + -132 + x

Reorder the terms:
-132 + X2 + x = 132 + -132 + -1x + x

Combine like terms: 132 + -132 = 0
-132 + X2 + x = 0 + -1x + x
-132 + X2 + x = -1x + x

Combine like terms: -1x + x = 0
-132 + X2 + x = 0

The solution to this equation could not be determined.