44=(x-5)(x-12)

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Solution for 44=(x-5)(x-12) equation: 


Simplifying
44 = (x + -5)(x + -12)

Reorder the terms:
44 = (-5 + x)(x + -12)

Reorder the terms:
44 = (-5 + x)(-12 + x)

Multiply (-5 + x) * (-12 + x)
44 = (-5(-12 + x) + x(-12 + x))
44 = ((-12 * -5 + x * -5) + x(-12 + x))
44 = ((60 + -5x) + x(-12 + x))
44 = (60 + -5x + (-12 * x + x * x))
44 = (60 + -5x + (-12x + x2))

Combine like terms: -5x + -12x = -17x
44 = (60 + -17x + x2)

Solving
44 = 60 + -17x + x2

Solving for variable 'x'.

Combine like terms: 44 + -60 = -16
-16 + 17x + -1x2 = 60 + -17x + x2 + -60 + 17x + -1x2

Reorder the terms:
-16 + 17x + -1x2 = 60 + -60 + -17x + 17x + x2 + -1x2

Combine like terms: 60 + -60 = 0
-16 + 17x + -1x2 = 0 + -17x + 17x + x2 + -1x2
-16 + 17x + -1x2 = -17x + 17x + x2 + -1x2

Combine like terms: -17x + 17x = 0
-16 + 17x + -1x2 = 0 + x2 + -1x2
-16 + 17x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-16 + 17x + -1x2 = 0

Factor a trinomial.
(-16 + x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Simplifying
x = 16

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {16, 1}

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