x^2+6x-3=[x+a]2+b

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Solution for x^2+6x-3=[x+a]2+b equation: 


Simplifying
x2 + 6x + -3 = [x + a] * 2 + b

Reorder the terms:
-3 + 6x + x2 = [x + a] * 2 + b

Reorder the terms:
-3 + 6x + x2 = [a + x] * 2 + b

Reorder the terms for easier multiplication:
-3 + 6x + x2 = 2[a + x] + b
-3 + 6x + x2 = [a * 2 + x * 2] + b
-3 + 6x + x2 = [2a + 2x] + b

Reorder the terms:
-3 + 6x + x2 = 2a + b + 2x

Solving
-3 + 6x + x2 = 2a + b + 2x

Solving for variable 'x'.

Reorder the terms:
-3 + -2a + -1b + 6x + -2x + x2 = 2a + b + 2x + -2a + -1b + -2x

Combine like terms: 6x + -2x = 4x
-3 + -2a + -1b + 4x + x2 = 2a + b + 2x + -2a + -1b + -2x

Reorder the terms:
-3 + -2a + -1b + 4x + x2 = 2a + -2a + b + -1b + 2x + -2x

Combine like terms: 2a + -2a = 0
-3 + -2a + -1b + 4x + x2 = 0 + b + -1b + 2x + -2x
-3 + -2a + -1b + 4x + x2 = b + -1b + 2x + -2x

Combine like terms: b + -1b = 0
-3 + -2a + -1b + 4x + x2 = 0 + 2x + -2x
-3 + -2a + -1b + 4x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -2a + -1b + 4x + x2 = 0

The solution to this equation could not be determined.

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