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

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


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

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

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

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

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

Solving
9xy + 40x2 + -9y2 = 0

Solving for variable 'x'.

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

Simplifying
5x + 3y = 0

Solving
5x + 3y = 0

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

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

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

Divide each side by '5'.
x = -0.6y

Simplifying
x = -0.6y
Solution
x = {0.375y, -0.6y}

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