(9x+17)(7x+22)=0

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Solution for (9x+17)(7x+22)=0 equation: 


Simplifying
(9x + 17)(7x + 22) = 0

Reorder the terms:
(17 + 9x)(7x + 22) = 0

Reorder the terms:
(17 + 9x)(22 + 7x) = 0

Multiply (17 + 9x) * (22 + 7x)
(17(22 + 7x) + 9x * (22 + 7x)) = 0
((22 * 17 + 7x * 17) + 9x * (22 + 7x)) = 0
((374 + 119x) + 9x * (22 + 7x)) = 0
(374 + 119x + (22 * 9x + 7x * 9x)) = 0
(374 + 119x + (198x + 63x2)) = 0

Combine like terms: 119x + 198x = 317x
(374 + 317x + 63x2) = 0

Solving
374 + 317x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(22 + 7x)(17 + 9x) = 0


Subproblem 1
Set the factor '(22 + 7x)' equal to zero and attempt to solve:

Simplifying
22 + 7x = 0

Solving
22 + 7x = 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 + 7x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 0 + -22
7x = 0 + -22

Combine like terms: 0 + -22 = -22
7x = -22

Divide each side by '7'.
x = -3.142857143

Simplifying
x = -3.142857143

Subproblem 2
Set the factor '(17 + 9x)' equal to zero and attempt to solve:

Simplifying
17 + 9x = 0

Solving
17 + 9x = 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 + 9x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 9x = 0 + -17
9x = 0 + -17

Combine like terms: 0 + -17 = -17
9x = -17

Divide each side by '9'.
x = -1.888888889

Simplifying
x = -1.888888889
Solution
x = {-3.142857143, -1.888888889}

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