(3x+17)*(7x+41)=0

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Solution for (3x+17)*(7x+41)=0 equation: 


Simplifying
(3x + 17)(7x + 41) = 0

Reorder the terms:
(17 + 3x)(7x + 41) = 0

Reorder the terms:
(17 + 3x)(41 + 7x) = 0

Multiply (17 + 3x) * (41 + 7x)
(17(41 + 7x) + 3x * (41 + 7x)) = 0
((41 * 17 + 7x * 17) + 3x * (41 + 7x)) = 0
((697 + 119x) + 3x * (41 + 7x)) = 0
(697 + 119x + (41 * 3x + 7x * 3x)) = 0
(697 + 119x + (123x + 21x2)) = 0

Combine like terms: 119x + 123x = 242x
(697 + 242x + 21x2) = 0

Solving
697 + 242x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(41 + 7x)(17 + 3x) = 0


Subproblem 1
Set the factor '(41 + 7x)' equal to zero and attempt to solve:

Simplifying
41 + 7x = 0

Solving
41 + 7x = 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 + 7x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 7x = 0 + -41
7x = 0 + -41

Combine like terms: 0 + -41 = -41
7x = -41

Divide each side by '7'.
x = -5.857142857

Simplifying
x = -5.857142857

Subproblem 2
Set the factor '(17 + 3x)' equal to zero and attempt to solve:

Simplifying
17 + 3x = 0

Solving
17 + 3x = 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 + 3x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 0 + -17
3x = 0 + -17

Combine like terms: 0 + -17 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667
Solution
x = {-5.857142857, -5.666666667}

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