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

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


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

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

Reorder the terms:
((5xy + 8x2) + 8y * (8x + 5y)) = 0
((5xy + 8x2) + 8y * (8x + 5y)) = 0
(5xy + 8x2 + (8x * 8y + 5y * 8y)) = 0
(5xy + 8x2 + (64xy + 40y2)) = 0

Reorder the terms:
(5xy + 64xy + 8x2 + 40y2) = 0

Combine like terms: 5xy + 64xy = 69xy
(69xy + 8x2 + 40y2) = 0

Solving
69xy + 8x2 + 40y2 = 0

Solving for variable 'x'.

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


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

Simplifying
8x + 5y = 0

Solving
8x + 5y = 0

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

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

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

Divide each side by '8'.
x = -0.625y

Simplifying
x = -0.625y

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

Simplifying
x + 8y = 0

Solving
x + 8y = 0

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

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

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

Simplifying
x = -8y
Solution
x = {-0.625y, -8y}

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