(x-5)(x-1)-(-12)=

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Solution for (x-5)(x-1)-(-12)= equation:


Simplifying
(x + -5)(x + -1) + -1(-12) = 0

Reorder the terms:
(-5 + x)(x + -1) + -1(-12) = 0

Reorder the terms:
(-5 + x)(-1 + x) + -1(-12) = 0

Multiply (-5 + x) * (-1 + x)
(-5(-1 + x) + x(-1 + x)) + -1(-12) = 0
((-1 * -5 + x * -5) + x(-1 + x)) + -1(-12) = 0
((5 + -5x) + x(-1 + x)) + -1(-12) = 0
(5 + -5x + (-1 * x + x * x)) + -1(-12) = 0
(5 + -5x + (-1x + x2)) + -1(-12) = 0

Combine like terms: -5x + -1x = -6x
(5 + -6x + x2) + -1(-12) = 0

Multiply -1 * -12
5 + -6x + x2 + 12 = 0

Reorder the terms:
5 + 12 + -6x + x2 = 0

Combine like terms: 5 + 12 = 17
17 + -6x + x2 = 0

Solving
17 + -6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -6x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -6x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x + x2 = 0 + -17
-6x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-6x + x2 = -17

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 = -17 + 9

Reorder the terms:
9 + -6x + x2 = -17 + 9

Combine like terms: -17 + 9 = -8
9 + -6x + x2 = -8

Factor a perfect square on the left side:
(x + -3)(x + -3) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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