(x-210)(x-18)=0

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Solution for (x-210)(x-18)=0 equation: 


Simplifying
(x + -210)(x + -18) = 0

Reorder the terms:
(-210 + x)(x + -18) = 0

Reorder the terms:
(-210 + x)(-18 + x) = 0

Multiply (-210 + x) * (-18 + x)
(-210(-18 + x) + x(-18 + x)) = 0
((-18 * -210 + x * -210) + x(-18 + x)) = 0
((3780 + -210x) + x(-18 + x)) = 0
(3780 + -210x + (-18 * x + x * x)) = 0
(3780 + -210x + (-18x + x2)) = 0

Combine like terms: -210x + -18x = -228x
(3780 + -228x + x2) = 0

Solving
3780 + -228x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + -1x)(210 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(210 + -1x)' equal to zero and attempt to solve:

Simplifying
210 + -1x = 0

Solving
210 + -1x = 0

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

Add '-210' to each side of the equation.
210 + -210 + -1x = 0 + -210

Combine like terms: 210 + -210 = 0
0 + -1x = 0 + -210
-1x = 0 + -210

Combine like terms: 0 + -210 = -210
-1x = -210

Divide each side by '-1'.
x = 210

Simplifying
x = 210
Solution
x = {18, 210}

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