(22+2x)(17+2x)=0

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Solution for (22+2x)(17+2x)=0 equation: 


Simplifying
(22 + 2x)(17 + 2x) = 0

Multiply (22 + 2x) * (17 + 2x)
(22(17 + 2x) + 2x * (17 + 2x)) = 0
((17 * 22 + 2x * 22) + 2x * (17 + 2x)) = 0
((374 + 44x) + 2x * (17 + 2x)) = 0
(374 + 44x + (17 * 2x + 2x * 2x)) = 0
(374 + 44x + (34x + 4x2)) = 0

Combine like terms: 44x + 34x = 78x
(374 + 78x + 4x2) = 0

Solving
374 + 78x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(187 + 39x + 2x2) = 0

Factor a trinomial.
2((11 + x)(17 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(17 + 2x)' equal to zero and attempt to solve:

Simplifying
17 + 2x = 0

Solving
17 + 2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 0 + -17
2x = 0 + -17

Combine like terms: 0 + -17 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5
Solution
x = {-11, -8.5}

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