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

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


Simplifying
(a + 5) * x2 + -3ax + (a + -5) = 0

Reorder the terms:
(5 + a) * x2 + -3ax + (a + -5) = 0

Reorder the terms for easier multiplication:
x2(5 + a) + -3ax + (a + -5) = 0
(5 * x2 + a * x2) + -3ax + (a + -5) = 0

Reorder the terms:
(ax2 + 5x2) + -3ax + (a + -5) = 0
(ax2 + 5x2) + -3ax + (a + -5) = 0

Reorder the terms:
ax2 + 5x2 + -3ax + (-5 + a) = 0

Remove parenthesis around (-5 + a)
ax2 + 5x2 + -3ax + -5 + a = 0

Reorder the terms:
-5 + a + -3ax + ax2 + 5x2 = 0

Solving
-5 + a + -3ax + ax2 + 5x2 = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + a + -3ax + ax2 + 5 + 5x2 = 0 + 5

Reorder the terms:
-5 + 5 + a + -3ax + ax2 + 5x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + a + -3ax + ax2 + 5x2 = 0 + 5
a + -3ax + ax2 + 5x2 = 0 + 5

Combine like terms: 0 + 5 = 5
a + -3ax + ax2 + 5x2 = 5

Add '-5x2' to each side of the equation.
a + -3ax + ax2 + 5x2 + -5x2 = 5 + -5x2

Combine like terms: 5x2 + -5x2 = 0
a + -3ax + ax2 + 0 = 5 + -5x2
a + -3ax + ax2 = 5 + -5x2

Reorder the terms:
-5 + a + -3ax + ax2 + 5x2 = 5 + -5x2 + -5 + 5x2

Reorder the terms:
-5 + a + -3ax + ax2 + 5x2 = 5 + -5 + -5x2 + 5x2

Combine like terms: 5 + -5 = 0
-5 + a + -3ax + ax2 + 5x2 = 0 + -5x2 + 5x2
-5 + a + -3ax + ax2 + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-5 + a + -3ax + ax2 + 5x2 = 0

The solution to this equation could not be determined.

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