x^2-(a+4)x+4a+1=0

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Solution for x^2-(a+4)x+4a+1=0 equation: 


Simplifying
x2 + -1(a + 4) * x + 4a + 1 = 0

Reorder the terms:
x2 + -1(4 + a) * x + 4a + 1 = 0

Reorder the terms for easier multiplication:
x2 + -1x(4 + a) + 4a + 1 = 0
x2 + (4 * -1x + a * -1x) + 4a + 1 = 0

Reorder the terms:
x2 + (-1ax + -4x) + 4a + 1 = 0
x2 + (-1ax + -4x) + 4a + 1 = 0

Reorder the terms:
1 + 4a + -1ax + -4x + x2 = 0

Solving
1 + 4a + -1ax + -4x + x2 = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + 4a + -1ax + -4x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 4a + -1ax + -4x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4a + -1ax + -4x + x2 = 0 + -1
4a + -1ax + -4x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
4a + -1ax + -4x + x2 = -1

Add '4x' to each side of the equation.
4a + -1ax + -4x + 4x + x2 = -1 + 4x

Combine like terms: -4x + 4x = 0
4a + -1ax + 0 + x2 = -1 + 4x
4a + -1ax + x2 = -1 + 4x

Add '-1x2' to each side of the equation.
4a + -1ax + x2 + -1x2 = -1 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
4a + -1ax + 0 = -1 + 4x + -1x2
4a + -1ax = -1 + 4x + -1x2

Reorder the terms:
1 + 4a + -1ax + -4x + x2 = -1 + 4x + -1x2 + 1 + -4x + x2

Reorder the terms:
1 + 4a + -1ax + -4x + x2 = -1 + 1 + 4x + -4x + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + 4a + -1ax + -4x + x2 = 0 + 4x + -4x + -1x2 + x2
1 + 4a + -1ax + -4x + x2 = 4x + -4x + -1x2 + x2

Combine like terms: 4x + -4x = 0
1 + 4a + -1ax + -4x + x2 = 0 + -1x2 + x2
1 + 4a + -1ax + -4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 4a + -1ax + -4x + x2 = 0

The solution to this equation could not be determined.

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