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

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Solution for (5x+8)(4x+3)=0 equation: 


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

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

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

Multiply (8 + 5x) * (3 + 4x)
(8(3 + 4x) + 5x * (3 + 4x)) = 0
((3 * 8 + 4x * 8) + 5x * (3 + 4x)) = 0
((24 + 32x) + 5x * (3 + 4x)) = 0
(24 + 32x + (3 * 5x + 4x * 5x)) = 0
(24 + 32x + (15x + 20x2)) = 0

Combine like terms: 32x + 15x = 47x
(24 + 47x + 20x2) = 0

Solving
24 + 47x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 5x)(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

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

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

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-1.6, -0.75}

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