(2x+44)(2x+41)=

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Solution for (2x+44)(2x+41)= equation: 


Simplifying
(2x + 44)(2x + 41) = 0

Reorder the terms:
(44 + 2x)(2x + 41) = 0

Reorder the terms:
(44 + 2x)(41 + 2x) = 0

Multiply (44 + 2x) * (41 + 2x)
(44(41 + 2x) + 2x * (41 + 2x)) = 0
((41 * 44 + 2x * 44) + 2x * (41 + 2x)) = 0
((1804 + 88x) + 2x * (41 + 2x)) = 0
(1804 + 88x + (41 * 2x + 2x * 2x)) = 0
(1804 + 88x + (82x + 4x2)) = 0

Combine like terms: 88x + 82x = 170x
(1804 + 170x + 4x2) = 0

Solving
1804 + 170x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(902 + 85x + 2x2) = 0

Factor a trinomial.
2((22 + x)(41 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22

Subproblem 2
Set the factor '(41 + 2x)' equal to zero and attempt to solve:

Simplifying
41 + 2x = 0

Solving
41 + 2x = 0

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

Add '-41' to each side of the equation.
41 + -41 + 2x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 2x = 0 + -41
2x = 0 + -41

Combine like terms: 0 + -41 = -41
2x = -41

Divide each side by '2'.
x = -20.5

Simplifying
x = -20.5
Solution
x = {-22, -20.5}

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