(x-a)(x-3)=x^2-11ax+k

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Solution for (x-a)(x-3)=x^2-11ax+k equation: 


Simplifying
(x + -1a)(x + -3) = x2 + -11ax + k

Reorder the terms:
(-1a + x)(x + -3) = x2 + -11ax + k

Reorder the terms:
(-1a + x)(-3 + x) = x2 + -11ax + k

Multiply (-1a + x) * (-3 + x)
(-1a * (-3 + x) + x(-3 + x)) = x2 + -11ax + k
((-3 * -1a + x * -1a) + x(-3 + x)) = x2 + -11ax + k
((3a + -1ax) + x(-3 + x)) = x2 + -11ax + k
(3a + -1ax + (-3 * x + x * x)) = x2 + -11ax + k
(3a + -1ax + (-3x + x2)) = x2 + -11ax + k
(3a + -1ax + -3x + x2) = x2 + -11ax + k

Reorder the terms:
3a + -1ax + -3x + x2 = -11ax + k + x2

Add '-1x2' to each side of the equation.
3a + -1ax + -3x + x2 + -1x2 = -11ax + k + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3a + -1ax + -3x + 0 = -11ax + k + x2 + -1x2
3a + -1ax + -3x = -11ax + k + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3a + -1ax + -3x = -11ax + k + 0
3a + -1ax + -3x = -11ax + k

Solving
3a + -1ax + -3x = -11ax + k

Solving for variable 'a'.

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

Add '11ax' to each side of the equation.
3a + -1ax + 11ax + -3x = -11ax + 11ax + k

Combine like terms: -1ax + 11ax = 10ax
3a + 10ax + -3x = -11ax + 11ax + k

Combine like terms: -11ax + 11ax = 0
3a + 10ax + -3x = 0 + k
3a + 10ax + -3x = k

Add '3x' to each side of the equation.
3a + 10ax + -3x + 3x = k + 3x

Combine like terms: -3x + 3x = 0
3a + 10ax + 0 = k + 3x
3a + 10ax = k + 3x

Reorder the terms:
3a + 10ax + -1k + -3x = k + -1k + 3x + -3x

Combine like terms: k + -1k = 0
3a + 10ax + -1k + -3x = 0 + 3x + -3x
3a + 10ax + -1k + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
3a + 10ax + -1k + -3x = 0

The solution to this equation could not be determined.

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