(x-3)(x-3)+2=0

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Solution for (x-3)(x-3)+2=0 equation:


Simplifying
(x + -3)(x + -3) + 2 = 0

Reorder the terms:
(-3 + x)(x + -3) + 2 = 0

Reorder the terms:
(-3 + x)(-3 + x) + 2 = 0

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) + 2 = 0
((-3 * -3 + x * -3) + x(-3 + x)) + 2 = 0
((9 + -3x) + x(-3 + x)) + 2 = 0
(9 + -3x + (-3 * x + x * x)) + 2 = 0
(9 + -3x + (-3x + x2)) + 2 = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) + 2 = 0

Reorder the terms:
9 + 2 + -6x + x2 = 0

Combine like terms: 9 + 2 = 11
11 + -6x + x2 = 0

Solving
11 + -6x + x2 = 0

Solving for variable 'x'.

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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