(18+2x)(22+2x)=837

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Solution for (18+2x)(22+2x)=837 equation: 


Simplifying
(18 + 2x)(22 + 2x) = 837

Multiply (18 + 2x) * (22 + 2x)
(18(22 + 2x) + 2x * (22 + 2x)) = 837
((22 * 18 + 2x * 18) + 2x * (22 + 2x)) = 837
((396 + 36x) + 2x * (22 + 2x)) = 837
(396 + 36x + (22 * 2x + 2x * 2x)) = 837
(396 + 36x + (44x + 4x2)) = 837

Combine like terms: 36x + 44x = 80x
(396 + 80x + 4x2) = 837

Solving
396 + 80x + 4x2 = 837

Solving for variable 'x'.

Reorder the terms:
396 + -837 + 80x + 4x2 = 837 + -837

Combine like terms: 396 + -837 = -441
-441 + 80x + 4x2 = 837 + -837

Combine like terms: 837 + -837 = 0
-441 + 80x + 4x2 = 0

Factor a trinomial.
(-49 + -2x)(9 + -2x) = 0


Subproblem 1
Set the factor '(-49 + -2x)' equal to zero and attempt to solve:

Simplifying
-49 + -2x = 0

Solving
-49 + -2x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -2x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -2x = 0 + 49
-2x = 0 + 49

Combine like terms: 0 + 49 = 49
-2x = 49

Divide each side by '-2'.
x = -24.5

Simplifying
x = -24.5

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {-24.5, 4.5}

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