(8x+9y)(3x+7y)=

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Solution for (8x+9y)(3x+7y)= equation: 


Simplifying
(8x + 9y)(3x + 7y) = 0

Multiply (8x + 9y) * (3x + 7y)
(8x * (3x + 7y) + 9y * (3x + 7y)) = 0
((3x * 8x + 7y * 8x) + 9y * (3x + 7y)) = 0

Reorder the terms:
((56xy + 24x2) + 9y * (3x + 7y)) = 0
((56xy + 24x2) + 9y * (3x + 7y)) = 0
(56xy + 24x2 + (3x * 9y + 7y * 9y)) = 0
(56xy + 24x2 + (27xy + 63y2)) = 0

Reorder the terms:
(56xy + 27xy + 24x2 + 63y2) = 0

Combine like terms: 56xy + 27xy = 83xy
(83xy + 24x2 + 63y2) = 0

Solving
83xy + 24x2 + 63y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + 9y)(3x + 7y) = 0


Subproblem 1
Set the factor '(8x + 9y)' equal to zero and attempt to solve:

Simplifying
8x + 9y = 0

Solving
8x + 9y = 0

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

Add '-9y' to each side of the equation.
8x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
8x + 0 = 0 + -9y
8x = 0 + -9y
Remove the zero:
8x = -9y

Divide each side by '8'.
x = -1.125y

Simplifying
x = -1.125y

Subproblem 2
Set the factor '(3x + 7y)' equal to zero and attempt to solve:

Simplifying
3x + 7y = 0

Solving
3x + 7y = 0

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

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

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

Divide each side by '3'.
x = -2.333333333y

Simplifying
x = -2.333333333y
Solution
x = {-1.125y, -2.333333333y}

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