(3x+2)(8x+5)=

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Solution for (3x+2)(8x+5)= equation: 


Simplifying
(3x + 2)(8x + 5) = 0

Reorder the terms:
(2 + 3x)(8x + 5) = 0

Reorder the terms:
(2 + 3x)(5 + 8x) = 0

Multiply (2 + 3x) * (5 + 8x)
(2(5 + 8x) + 3x * (5 + 8x)) = 0
((5 * 2 + 8x * 2) + 3x * (5 + 8x)) = 0
((10 + 16x) + 3x * (5 + 8x)) = 0
(10 + 16x + (5 * 3x + 8x * 3x)) = 0
(10 + 16x + (15x + 24x2)) = 0

Combine like terms: 16x + 15x = 31x
(10 + 31x + 24x2) = 0

Solving
10 + 31x + 24x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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 = {-0.6666666667, -0.625}

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