(3x+7)(5x+6)=

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Solution for (3x+7)(5x+6)= equation: 


Simplifying
(3x + 7)(5x + 6) = 0

Reorder the terms:
(7 + 3x)(5x + 6) = 0

Reorder the terms:
(7 + 3x)(6 + 5x) = 0

Multiply (7 + 3x) * (6 + 5x)
(7(6 + 5x) + 3x * (6 + 5x)) = 0
((6 * 7 + 5x * 7) + 3x * (6 + 5x)) = 0
((42 + 35x) + 3x * (6 + 5x)) = 0
(42 + 35x + (6 * 3x + 5x * 3x)) = 0
(42 + 35x + (18x + 15x2)) = 0

Combine like terms: 35x + 18x = 53x
(42 + 53x + 15x2) = 0

Solving
42 + 53x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(6 + 5x) = 0


Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
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
Solution
x = {-2.333333333, -1.2}

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