(5x+6)(3x+2)=

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Solution for (5x+6)(3x+2)= equation: 


Simplifying
(5x + 6)(3x + 2) = 0

Reorder the terms:
(6 + 5x)(3x + 2) = 0

Reorder the terms:
(6 + 5x)(2 + 3x) = 0

Multiply (6 + 5x) * (2 + 3x)
(6(2 + 3x) + 5x * (2 + 3x)) = 0
((2 * 6 + 3x * 6) + 5x * (2 + 3x)) = 0
((12 + 18x) + 5x * (2 + 3x)) = 0
(12 + 18x + (2 * 5x + 3x * 5x)) = 0
(12 + 18x + (10x + 15x2)) = 0

Combine like terms: 18x + 10x = 28x
(12 + 28x + 15x2) = 0

Solving
12 + 28x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + 5x)(2 + 3x) = 0


Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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 = {-1.2, -0.6666666667}

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