X^2-3ax+2a^2+3a-9=0

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Solution for X^2-3ax+2a^2+3a-9=0 equation: 


Simplifying
X2 + -3ax + 2a2 + 3a + -9 = 0

Reorder the terms:
-9 + X2 + 3a + -3ax + 2a2 = 0

Solving
-9 + X2 + 3a + -3ax + 2a2 = 0

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + X2 + 3a + -3ax + 9 + 2a2 = 0 + 9

Reorder the terms:
-9 + 9 + X2 + 3a + -3ax + 2a2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + X2 + 3a + -3ax + 2a2 = 0 + 9
X2 + 3a + -3ax + 2a2 = 0 + 9

Combine like terms: 0 + 9 = 9
X2 + 3a + -3ax + 2a2 = 9

Add '-3a' to each side of the equation.
X2 + 3a + -3ax + -3a + 2a2 = 9 + -3a

Reorder the terms:
X2 + 3a + -3a + -3ax + 2a2 = 9 + -3a

Combine like terms: 3a + -3a = 0
X2 + 0 + -3ax + 2a2 = 9 + -3a
X2 + -3ax + 2a2 = 9 + -3a

Add '3ax' to each side of the equation.
X2 + -3ax + 3ax + 2a2 = 9 + -3a + 3ax

Combine like terms: -3ax + 3ax = 0
X2 + 0 + 2a2 = 9 + -3a + 3ax
X2 + 2a2 = 9 + -3a + 3ax

Add '-2a2' to each side of the equation.
X2 + 2a2 + -2a2 = 9 + -3a + 3ax + -2a2

Combine like terms: 2a2 + -2a2 = 0
X2 + 0 = 9 + -3a + 3ax + -2a2
X2 = 9 + -3a + 3ax + -2a2

Simplifying
X2 = 9 + -3a + 3ax + -2a2

Reorder the terms:
-9 + X2 + 3a + -3ax + 2a2 = 9 + -3a + 3ax + -2a2 + -9 + 3a + -3ax + 2a2

Reorder the terms:
-9 + X2 + 3a + -3ax + 2a2 = 9 + -9 + -3a + 3a + 3ax + -3ax + -2a2 + 2a2

Combine like terms: 9 + -9 = 0
-9 + X2 + 3a + -3ax + 2a2 = 0 + -3a + 3a + 3ax + -3ax + -2a2 + 2a2
-9 + X2 + 3a + -3ax + 2a2 = -3a + 3a + 3ax + -3ax + -2a2 + 2a2

Combine like terms: -3a + 3a = 0
-9 + X2 + 3a + -3ax + 2a2 = 0 + 3ax + -3ax + -2a2 + 2a2
-9 + X2 + 3a + -3ax + 2a2 = 3ax + -3ax + -2a2 + 2a2

Combine like terms: 3ax + -3ax = 0
-9 + X2 + 3a + -3ax + 2a2 = 0 + -2a2 + 2a2
-9 + X2 + 3a + -3ax + 2a2 = -2a2 + 2a2

Combine like terms: -2a2 + 2a2 = 0
-9 + X2 + 3a + -3ax + 2a2 = 0

The solution to this equation could not be determined.

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