(23x+17)*(37x+31)=0

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Solution for (23x+17)*(37x+31)=0 equation: 


Simplifying
(23x + 17)(37x + 31) = 0

Reorder the terms:
(17 + 23x)(37x + 31) = 0

Reorder the terms:
(17 + 23x)(31 + 37x) = 0

Multiply (17 + 23x) * (31 + 37x)
(17(31 + 37x) + 23x * (31 + 37x)) = 0
((31 * 17 + 37x * 17) + 23x * (31 + 37x)) = 0
((527 + 629x) + 23x * (31 + 37x)) = 0
(527 + 629x + (31 * 23x + 37x * 23x)) = 0
(527 + 629x + (713x + 851x2)) = 0

Combine like terms: 629x + 713x = 1342x
(527 + 1342x + 851x2) = 0

Solving
527 + 1342x + 851x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(31 + 37x)(17 + 23x) = 0


Subproblem 1
Set the factor '(31 + 37x)' equal to zero and attempt to solve:

Simplifying
31 + 37x = 0

Solving
31 + 37x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 37x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 37x = 0 + -31
37x = 0 + -31

Combine like terms: 0 + -31 = -31
37x = -31

Divide each side by '37'.
x = -0.8378378378

Simplifying
x = -0.8378378378

Subproblem 2
Set the factor '(17 + 23x)' equal to zero and attempt to solve:

Simplifying
17 + 23x = 0

Solving
17 + 23x = 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 + 23x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 23x = 0 + -17
23x = 0 + -17

Combine like terms: 0 + -17 = -17
23x = -17

Divide each side by '23'.
x = -0.7391304348

Simplifying
x = -0.7391304348
Solution
x = {-0.8378378378, -0.7391304348}

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