(12x+23)(3x+5)=

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Solution for (12x+23)(3x+5)= equation: 


Simplifying
(12x + 23)(3x + 5) = 0

Reorder the terms:
(23 + 12x)(3x + 5) = 0

Reorder the terms:
(23 + 12x)(5 + 3x) = 0

Multiply (23 + 12x) * (5 + 3x)
(23(5 + 3x) + 12x * (5 + 3x)) = 0
((5 * 23 + 3x * 23) + 12x * (5 + 3x)) = 0
((115 + 69x) + 12x * (5 + 3x)) = 0
(115 + 69x + (5 * 12x + 3x * 12x)) = 0
(115 + 69x + (60x + 36x2)) = 0

Combine like terms: 69x + 60x = 129x
(115 + 129x + 36x2) = 0

Solving
115 + 129x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + 12x)(5 + 3x) = 0


Subproblem 1
Set the factor '(23 + 12x)' equal to zero and attempt to solve:

Simplifying
23 + 12x = 0

Solving
23 + 12x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 12x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 12x = 0 + -23
12x = 0 + -23

Combine like terms: 0 + -23 = -23
12x = -23

Divide each side by '12'.
x = -1.916666667

Simplifying
x = -1.916666667

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-1.916666667, -1.666666667}

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