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

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


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

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

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

Multiply (5 + 8x) * (8 + 6x)
(5(8 + 6x) + 8x * (8 + 6x)) = 0
((8 * 5 + 6x * 5) + 8x * (8 + 6x)) = 0
((40 + 30x) + 8x * (8 + 6x)) = 0
(40 + 30x + (8 * 8x + 6x * 8x)) = 0
(40 + 30x + (64x + 48x2)) = 0

Combine like terms: 30x + 64x = 94x
(40 + 94x + 48x2) = 0

Solving
40 + 94x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 47x + 24x2) = 0

Factor a trinomial.
2((4 + 3x)(5 + 8x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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 = {-1.333333333, -0.625}

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