(6x+7)(8x+5)=0

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Solution for (6x+7)(8x+5)=0 equation: 


Simplifying
(6x + 7)(8x + 5) = 0

Reorder the terms:
(7 + 6x)(8x + 5) = 0

Reorder the terms:
(7 + 6x)(5 + 8x) = 0

Multiply (7 + 6x) * (5 + 8x)
(7(5 + 8x) + 6x * (5 + 8x)) = 0
((5 * 7 + 8x * 7) + 6x * (5 + 8x)) = 0
((35 + 56x) + 6x * (5 + 8x)) = 0
(35 + 56x + (5 * 6x + 8x * 6x)) = 0
(35 + 56x + (30x + 48x2)) = 0

Combine like terms: 56x + 30x = 86x
(35 + 86x + 48x2) = 0

Solving
35 + 86x + 48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x)(5 + 8x) = 0


Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 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 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

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

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

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {-1.166666667, -0.625}

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