(x-10)(x-18)+12=0

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Solution for (x-10)(x-18)+12=0 equation: 


Simplifying
(x + -10)(x + -18) + 12 = 0

Reorder the terms:
(-10 + x)(x + -18) + 12 = 0

Reorder the terms:
(-10 + x)(-18 + x) + 12 = 0

Multiply (-10 + x) * (-18 + x)
(-10(-18 + x) + x(-18 + x)) + 12 = 0
((-18 * -10 + x * -10) + x(-18 + x)) + 12 = 0
((180 + -10x) + x(-18 + x)) + 12 = 0
(180 + -10x + (-18 * x + x * x)) + 12 = 0
(180 + -10x + (-18x + x2)) + 12 = 0

Combine like terms: -10x + -18x = -28x
(180 + -28x + x2) + 12 = 0

Reorder the terms:
180 + 12 + -28x + x2 = 0

Combine like terms: 180 + 12 = 192
192 + -28x + x2 = 0

Solving
192 + -28x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + -1x)(16 + -1x) = 0


Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 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 + -1x = 0 + -16

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

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

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {12, 16}

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