(7x+3y)(8x+5y)=

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Solution for (7x+3y)(8x+5y)= equation: 


Simplifying
(7x + 3y)(8x + 5y) = 0

Multiply (7x + 3y) * (8x + 5y)
(7x * (8x + 5y) + 3y * (8x + 5y)) = 0
((8x * 7x + 5y * 7x) + 3y * (8x + 5y)) = 0

Reorder the terms:
((35xy + 56x2) + 3y * (8x + 5y)) = 0
((35xy + 56x2) + 3y * (8x + 5y)) = 0
(35xy + 56x2 + (8x * 3y + 5y * 3y)) = 0
(35xy + 56x2 + (24xy + 15y2)) = 0

Reorder the terms:
(35xy + 24xy + 56x2 + 15y2) = 0

Combine like terms: 35xy + 24xy = 59xy
(59xy + 56x2 + 15y2) = 0

Solving
59xy + 56x2 + 15y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 3y)(8x + 5y) = 0


Subproblem 1
Set the factor '(7x + 3y)' equal to zero and attempt to solve:

Simplifying
7x + 3y = 0

Solving
7x + 3y = 0

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

Add '-3y' to each side of the equation.
7x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
7x + 0 = 0 + -3y
7x = 0 + -3y
Remove the zero:
7x = -3y

Divide each side by '7'.
x = -0.4285714286y

Simplifying
x = -0.4285714286y

Subproblem 2
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
Solution
x = {-0.4285714286y, -0.625y}

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