(3x+7)(5x+8)=

Solution for (3x+7)(5x+8)= equation:

Simplifying
(3x + 7)(5x + 8) = 0

Reorder the terms:
(7 + 3x)(5x + 8) = 0

Reorder the terms:
(7 + 3x)(8 + 5x) = 0

Multiply (7 + 3x) * (8 + 5x)
(7(8 + 5x) + 3x * (8 + 5x)) = 0
((8 * 7 + 5x * 7) + 3x * (8 + 5x)) = 0
((56 + 35x) + 3x * (8 + 5x)) = 0
(56 + 35x + (8 * 3x + 5x * 3x)) = 0
(56 + 35x + (24x + 15x2)) = 0

Combine like terms: 35x + 24x = 59x
(56 + 59x + 15x2) = 0

Solving
56 + 59x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x)(8 + 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 '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {-2.333333333, -1.6}