(x-3)(x-3)-2=-5

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Solution for (x-3)(x-3)-2=-5 equation: 


Simplifying
(x + -3)(x + -3) + -2 = -5

Reorder the terms:
(-3 + x)(x + -3) + -2 = -5

Reorder the terms:
(-3 + x)(-3 + x) + -2 = -5

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) + -2 = -5
((-3 * -3 + x * -3) + x(-3 + x)) + -2 = -5
((9 + -3x) + x(-3 + x)) + -2 = -5
(9 + -3x + (-3 * x + x * x)) + -2 = -5
(9 + -3x + (-3x + x2)) + -2 = -5

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) + -2 = -5

Reorder the terms:
9 + -2 + -6x + x2 = -5

Combine like terms: 9 + -2 = 7
7 + -6x + x2 = -5

Solving
7 + -6x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
7 + 5 + -6x + x2 = -5 + 5

Combine like terms: 7 + 5 = 12
12 + -6x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
12 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -6x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -6x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -6x + x2 = 0 + -12
-6x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-6x + x2 = -12

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 = -12 + 9

Reorder the terms:
9 + -6x + x2 = -12 + 9

Combine like terms: -12 + 9 = -3
9 + -6x + x2 = -3

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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