(5x+12)(3x+2)=

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Solution for (5x+12)(3x+2)= equation: 


Simplifying
(5x + 12)(3x + 2) = 0

Reorder the terms:
(12 + 5x)(3x + 2) = 0

Reorder the terms:
(12 + 5x)(2 + 3x) = 0

Multiply (12 + 5x) * (2 + 3x)
(12(2 + 3x) + 5x * (2 + 3x)) = 0
((2 * 12 + 3x * 12) + 5x * (2 + 3x)) = 0
((24 + 36x) + 5x * (2 + 3x)) = 0
(24 + 36x + (2 * 5x + 3x * 5x)) = 0
(24 + 36x + (10x + 15x2)) = 0

Combine like terms: 36x + 10x = 46x
(24 + 46x + 15x2) = 0

Solving
24 + 46x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + 5x)(2 + 3x) = 0


Subproblem 1
Set the factor '(12 + 5x)' equal to zero and attempt to solve:

Simplifying
12 + 5x = 0

Solving
12 + 5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-2.4, -0.6666666667}

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