x^2-3(x-1)=3x-8

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Solution for x^2-3(x-1)=3x-8 equation: 


Simplifying
x2 + -3(x + -1) = 3x + -8

Reorder the terms:
x2 + -3(-1 + x) = 3x + -8
x2 + (-1 * -3 + x * -3) = 3x + -8
x2 + (3 + -3x) = 3x + -8

Reorder the terms:
3 + -3x + x2 = 3x + -8

Reorder the terms:
3 + -3x + x2 = -8 + 3x

Solving
3 + -3x + x2 = -8 + 3x

Solving for variable 'x'.

Reorder the terms:
3 + 8 + -3x + -3x + x2 = -8 + 3x + 8 + -3x

Combine like terms: 3 + 8 = 11
11 + -3x + -3x + x2 = -8 + 3x + 8 + -3x

Combine like terms: -3x + -3x = -6x
11 + -6x + x2 = -8 + 3x + 8 + -3x

Reorder the terms:
11 + -6x + x2 = -8 + 8 + 3x + -3x

Combine like terms: -8 + 8 = 0
11 + -6x + x2 = 0 + 3x + -3x
11 + -6x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -6x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -6x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6x + x2 = 0 + -11
-6x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-6x + x2 = -11

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -11 + 9

Reorder the terms:
9 + -6x + x2 = -11 + 9

Combine like terms: -11 + 9 = -2
9 + -6x + x2 = -2

Factor a perfect square on the left side:
(x + -3)(x + -3) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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