(5x+8y)(7x-2y)=

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Solution for (5x+8y)(7x-2y)= equation: 


Simplifying
(5x + 8y)(7x + -2y) = 0

Multiply (5x + 8y) * (7x + -2y)
(5x * (7x + -2y) + 8y * (7x + -2y)) = 0
((7x * 5x + -2y * 5x) + 8y * (7x + -2y)) = 0

Reorder the terms:
((-10xy + 35x2) + 8y * (7x + -2y)) = 0
((-10xy + 35x2) + 8y * (7x + -2y)) = 0
(-10xy + 35x2 + (7x * 8y + -2y * 8y)) = 0
(-10xy + 35x2 + (56xy + -16y2)) = 0

Reorder the terms:
(-10xy + 56xy + 35x2 + -16y2) = 0

Combine like terms: -10xy + 56xy = 46xy
(46xy + 35x2 + -16y2) = 0

Solving
46xy + 35x2 + -16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -2y)(5x + 8y) = 0


Subproblem 1
Set the factor '(7x + -2y)' equal to zero and attempt to solve:

Simplifying
7x + -2y = 0

Solving
7x + -2y = 0

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

Add '2y' to each side of the equation.
7x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
7x + 0 = 0 + 2y
7x = 0 + 2y
Remove the zero:
7x = 2y

Divide each side by '7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y

Subproblem 2
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
Solution
x = {0.2857142857y, -1.6y}

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