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

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


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

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

Reorder the terms:
((40xy + 15x2) + -8y * (3x + 8y)) = 0
((40xy + 15x2) + -8y * (3x + 8y)) = 0
(40xy + 15x2 + (3x * -8y + 8y * -8y)) = 0
(40xy + 15x2 + (-24xy + -64y2)) = 0

Reorder the terms:
(40xy + -24xy + 15x2 + -64y2) = 0

Combine like terms: 40xy + -24xy = 16xy
(16xy + 15x2 + -64y2) = 0

Solving
16xy + 15x2 + -64y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(5x + -8y)' equal to zero and attempt to solve:

Simplifying
5x + -8y = 0

Solving
5x + -8y = 0

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

Add '8y' to each side of the equation.
5x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
5x + 0 = 0 + 8y
5x = 0 + 8y
Remove the zero:
5x = 8y

Divide each side by '5'.
x = 1.6y

Simplifying
x = 1.6y

Subproblem 2
Set the factor '(3x + 8y)' equal to zero and attempt to solve:

Simplifying
3x + 8y = 0

Solving
3x + 8y = 0

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

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

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

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

Simplifying
x = -2.666666667y
Solution
x = {1.6y, -2.666666667y}

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