x^2-(a+d)x+(ad-b^2)=0

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Solution for x^2-(a+d)x+(ad-b^2)=0 equation: 


Simplifying
x2 + -1(a + d) * x + (ad + -1b2) = 0

Reorder the terms for easier multiplication:
x2 + -1x(a + d) + (ad + -1b2) = 0
x2 + (a * -1x + d * -1x) + (ad + -1b2) = 0
x2 + (-1ax + -1dx) + (ad + -1b2) = 0

Remove parenthesis around (ad + -1b2)
x2 + -1ax + -1dx + ad + -1b2 = 0

Reorder the terms:
ad + -1ax + -1b2 + -1dx + x2 = 0

Solving
ad + -1ax + -1b2 + -1dx + x2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
ad + -1ax + -1b2 + -1dx + b2 + x2 = 0 + b2

Reorder the terms:
ad + -1ax + -1b2 + b2 + -1dx + x2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
ad + -1ax + 0 + -1dx + x2 = 0 + b2
ad + -1ax + -1dx + x2 = 0 + b2
Remove the zero:
ad + -1ax + -1dx + x2 = b2

Add 'dx' to each side of the equation.
ad + -1ax + -1dx + dx + x2 = b2 + dx

Combine like terms: -1dx + dx = 0
ad + -1ax + 0 + x2 = b2 + dx
ad + -1ax + x2 = b2 + dx

Add '-1x2' to each side of the equation.
ad + -1ax + x2 + -1x2 = b2 + dx + -1x2

Combine like terms: x2 + -1x2 = 0
ad + -1ax + 0 = b2 + dx + -1x2
ad + -1ax = b2 + dx + -1x2

Reorder the terms:
ad + -1ax + -1b2 + -1dx + x2 = b2 + -1b2 + dx + -1dx + -1x2 + x2

Combine like terms: b2 + -1b2 = 0
ad + -1ax + -1b2 + -1dx + x2 = 0 + dx + -1dx + -1x2 + x2
ad + -1ax + -1b2 + -1dx + x2 = dx + -1dx + -1x2 + x2

Combine like terms: dx + -1dx = 0
ad + -1ax + -1b2 + -1dx + x2 = 0 + -1x2 + x2
ad + -1ax + -1b2 + -1dx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
ad + -1ax + -1b2 + -1dx + x2 = 0

The solution to this equation could not be determined.

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