0=ax^2+(5-2a)*x+(a-5)

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Solution for 0=ax^2+(5-2a)*x+(a-5) equation: 


Simplifying
0 = ax2 + (5 + -2a) * x + (a + -5)

Reorder the terms for easier multiplication:
0 = ax2 + x(5 + -2a) + (a + -5)
0 = ax2 + (5 * x + -2a * x) + (a + -5)

Reorder the terms:
0 = ax2 + (-2ax + 5x) + (a + -5)
0 = ax2 + (-2ax + 5x) + (a + -5)

Reorder the terms:
0 = ax2 + -2ax + 5x + (-5 + a)

Remove parenthesis around (-5 + a)
0 = ax2 + -2ax + 5x + -5 + a

Reorder the terms:
0 = -5 + a + -2ax + ax2 + 5x

Solving
0 = -5 + a + -2ax + ax2 + 5x

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
0 + -1a = -5 + a + -2ax + ax2 + -1a + 5x
Remove the zero:
-1a = -5 + a + -2ax + ax2 + -1a + 5x

Reorder the terms:
-1a = -5 + a + -1a + -2ax + ax2 + 5x

Combine like terms: a + -1a = 0
-1a = -5 + 0 + -2ax + ax2 + 5x
-1a = -5 + -2ax + ax2 + 5x

Add '2ax' to each side of the equation.
-1a + 2ax = -5 + -2ax + ax2 + 2ax + 5x

Reorder the terms:
-1a + 2ax = -5 + -2ax + 2ax + ax2 + 5x

Combine like terms: -2ax + 2ax = 0
-1a + 2ax = -5 + 0 + ax2 + 5x
-1a + 2ax = -5 + ax2 + 5x

Add '-1ax2' to each side of the equation.
-1a + 2ax + -1ax2 = -5 + ax2 + -1ax2 + 5x

Combine like terms: ax2 + -1ax2 = 0
-1a + 2ax + -1ax2 = -5 + 0 + 5x
-1a + 2ax + -1ax2 = -5 + 5x

Reorder the terms:
5 + -1a + 2ax + -1ax2 + -5x = -5 + 5x + 5 + -5x

Reorder the terms:
5 + -1a + 2ax + -1ax2 + -5x = -5 + 5 + 5x + -5x

Combine like terms: -5 + 5 = 0
5 + -1a + 2ax + -1ax2 + -5x = 0 + 5x + -5x
5 + -1a + 2ax + -1ax2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -1a + 2ax + -1ax2 + -5x = 0

The solution to this equation could not be determined.

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