0=(x-5)(x-5)+144

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Solution for 0=(x-5)(x-5)+144 equation: 


Simplifying
0 = (x + -5)(x + -5) + 144

Reorder the terms:
0 = (-5 + x)(x + -5) + 144

Reorder the terms:
0 = (-5 + x)(-5 + x) + 144

Multiply (-5 + x) * (-5 + x)
0 = (-5(-5 + x) + x(-5 + x)) + 144
0 = ((-5 * -5 + x * -5) + x(-5 + x)) + 144
0 = ((25 + -5x) + x(-5 + x)) + 144
0 = (25 + -5x + (-5 * x + x * x)) + 144
0 = (25 + -5x + (-5x + x2)) + 144

Combine like terms: -5x + -5x = -10x
0 = (25 + -10x + x2) + 144

Reorder the terms:
0 = 25 + 144 + -10x + x2

Combine like terms: 25 + 144 = 169
0 = 169 + -10x + x2

Solving
0 = 169 + -10x + x2

Solving for variable 'x'.

Combine like terms: 0 + -169 = -169
-169 + 10x + -1x2 = 169 + -10x + x2 + -169 + 10x + -1x2

Reorder the terms:
-169 + 10x + -1x2 = 169 + -169 + -10x + 10x + x2 + -1x2

Combine like terms: 169 + -169 = 0
-169 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2
-169 + 10x + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-169 + 10x + -1x2 = 0 + x2 + -1x2
-169 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-169 + 10x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
169 + -10x + x2 = 0

Move the constant term to the right:

Add '-169' to each side of the equation.
169 + -10x + -169 + x2 = 0 + -169

Reorder the terms:
169 + -169 + -10x + x2 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + -10x + x2 = 0 + -169
-10x + x2 = 0 + -169

Combine like terms: 0 + -169 = -169
-10x + x2 = -169

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -169 + 25

Reorder the terms:
25 + -10x + x2 = -169 + 25

Combine like terms: -169 + 25 = -144
25 + -10x + x2 = -144

Factor a perfect square on the left side:
(x + -5)(x + -5) = -144

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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