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

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


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

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

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

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

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

Solving
48 + 86x + 35x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve:

Simplifying
6 + 7x = 0

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

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

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

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Solution
x = {-1.6, -0.8571428571}

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