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

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


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

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

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

Multiply (3x + 5y) * (8x + 3y)
(3x * (8x + 3y) + 5y * (8x + 3y)) = 0
((8x * 3x + 3y * 3x) + 5y * (8x + 3y)) = 0

Reorder the terms:
((9xy + 24x2) + 5y * (8x + 3y)) = 0
((9xy + 24x2) + 5y * (8x + 3y)) = 0
(9xy + 24x2 + (8x * 5y + 3y * 5y)) = 0
(9xy + 24x2 + (40xy + 15y2)) = 0

Reorder the terms:
(9xy + 40xy + 24x2 + 15y2) = 0

Combine like terms: 9xy + 40xy = 49xy
(49xy + 24x2 + 15y2) = 0

Solving
49xy + 24x2 + 15y2 = 0

Solving for variable 'x'.

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


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

Simplifying
8x + 3y = 0

Solving
8x + 3y = 0

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

Add '-3y' to each side of the equation.
8x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = 0 + -3y
8x = 0 + -3y
Remove the zero:
8x = -3y

Divide each side by '8'.
x = -0.375y

Simplifying
x = -0.375y

Subproblem 2
Set the factor '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {-0.375y, -1.666666667y}

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