(x-8)(x-12)=60

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Solution for (x-8)(x-12)=60 equation:


Simplifying
(x + -8)(x + -12) = 60

Reorder the terms:
(-8 + x)(x + -12) = 60

Reorder the terms:
(-8 + x)(-12 + x) = 60

Multiply (-8 + x) * (-12 + x)
(-8(-12 + x) + x(-12 + x)) = 60
((-12 * -8 + x * -8) + x(-12 + x)) = 60
((96 + -8x) + x(-12 + x)) = 60
(96 + -8x + (-12 * x + x * x)) = 60
(96 + -8x + (-12x + x2)) = 60

Combine like terms: -8x + -12x = -20x
(96 + -20x + x2) = 60

Solving
96 + -20x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
96 + -60 + -20x + x2 = 60 + -60

Combine like terms: 96 + -60 = 36
36 + -20x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
36 + -20x + x2 = 0

Factor a trinomial.
(2 + -1x)(18 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {2, 18}

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