6x^2-(10-3a)x+(2-5a)=0

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Solution for 6x^2-(10-3a)x+(2-5a)=0 equation: 


Simplifying
6x2 + -1(10 + -3a) * x + (2 + -5a) = 0

Reorder the terms for easier multiplication:
6x2 + -1x(10 + -3a) + (2 + -5a) = 0
6x2 + (10 * -1x + -3a * -1x) + (2 + -5a) = 0

Reorder the terms:
6x2 + (3ax + -10x) + (2 + -5a) = 0
6x2 + (3ax + -10x) + (2 + -5a) = 0

Remove parenthesis around (2 + -5a)
6x2 + 3ax + -10x + 2 + -5a = 0

Reorder the terms:
2 + -5a + 3ax + -10x + 6x2 = 0

Solving
2 + -5a + 3ax + -10x + 6x2 = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -5a + 3ax + -10x + -2 + 6x2 = 0 + -2

Reorder the terms:
2 + -2 + -5a + 3ax + -10x + 6x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a + 3ax + -10x + 6x2 = 0 + -2
-5a + 3ax + -10x + 6x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-5a + 3ax + -10x + 6x2 = -2

Add '10x' to each side of the equation.
-5a + 3ax + -10x + 10x + 6x2 = -2 + 10x

Combine like terms: -10x + 10x = 0
-5a + 3ax + 0 + 6x2 = -2 + 10x
-5a + 3ax + 6x2 = -2 + 10x

Add '-6x2' to each side of the equation.
-5a + 3ax + 6x2 + -6x2 = -2 + 10x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5a + 3ax + 0 = -2 + 10x + -6x2
-5a + 3ax = -2 + 10x + -6x2

Reorder the terms:
2 + -5a + 3ax + -10x + 6x2 = -2 + 10x + -6x2 + 2 + -10x + 6x2

Reorder the terms:
2 + -5a + 3ax + -10x + 6x2 = -2 + 2 + 10x + -10x + -6x2 + 6x2

Combine like terms: -2 + 2 = 0
2 + -5a + 3ax + -10x + 6x2 = 0 + 10x + -10x + -6x2 + 6x2
2 + -5a + 3ax + -10x + 6x2 = 10x + -10x + -6x2 + 6x2

Combine like terms: 10x + -10x = 0
2 + -5a + 3ax + -10x + 6x2 = 0 + -6x2 + 6x2
2 + -5a + 3ax + -10x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
2 + -5a + 3ax + -10x + 6x2 = 0

The solution to this equation could not be determined.

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