X^2+xa+2x+2a=X^2+bx+18

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Solution for X^2+xa+2x+2a=X^2+bx+18 equation:


Simplifying
X2 + xa + 2x + 2a = X2 + bx + 18

Reorder the terms:
X2 + 2a + ax + 2x = X2 + bx + 18

Reorder the terms:
X2 + 2a + ax + 2x = 18 + X2 + bx

Add '-1X2' to each side of the equation.
X2 + 2a + ax + -1X2 + 2x = 18 + X2 + -1X2 + bx

Reorder the terms:
X2 + -1X2 + 2a + ax + 2x = 18 + X2 + -1X2 + bx

Combine like terms: X2 + -1X2 = 0
0 + 2a + ax + 2x = 18 + X2 + -1X2 + bx
2a + ax + 2x = 18 + X2 + -1X2 + bx

Combine like terms: X2 + -1X2 = 0
2a + ax + 2x = 18 + 0 + bx
2a + ax + 2x = 18 + bx

Solving
2a + ax + 2x = 18 + bx

Solving for variable 'a'.

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

Add '-2x' to each side of the equation.
2a + ax + 2x + -2x = 18 + bx + -2x

Combine like terms: 2x + -2x = 0
2a + ax + 0 = 18 + bx + -2x
2a + ax = 18 + bx + -2x

Reorder the terms:
-18 + 2a + ax + -1bx + 2x = 18 + bx + -2x + -18 + -1bx + 2x

Reorder the terms:
-18 + 2a + ax + -1bx + 2x = 18 + -18 + bx + -1bx + -2x + 2x

Combine like terms: 18 + -18 = 0
-18 + 2a + ax + -1bx + 2x = 0 + bx + -1bx + -2x + 2x
-18 + 2a + ax + -1bx + 2x = bx + -1bx + -2x + 2x

Combine like terms: bx + -1bx = 0
-18 + 2a + ax + -1bx + 2x = 0 + -2x + 2x
-18 + 2a + ax + -1bx + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 2a + ax + -1bx + 2x = 0

The solution to this equation could not be determined.

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