(5x+4)(3x+8)=

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Solution for (5x+4)(3x+8)= equation: 


Simplifying
(5x + 4)(3x + 8) = 0

Reorder the terms:
(4 + 5x)(3x + 8) = 0

Reorder the terms:
(4 + 5x)(8 + 3x) = 0

Multiply (4 + 5x) * (8 + 3x)
(4(8 + 3x) + 5x * (8 + 3x)) = 0
((8 * 4 + 3x * 4) + 5x * (8 + 3x)) = 0
((32 + 12x) + 5x * (8 + 3x)) = 0
(32 + 12x + (8 * 5x + 3x * 5x)) = 0
(32 + 12x + (40x + 15x2)) = 0

Combine like terms: 12x + 40x = 52x
(32 + 52x + 15x2) = 0

Solving
32 + 52x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-2.666666667, -0.8}

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