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

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


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

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

Reorder the terms:
((56xy + 49x2) + 2y * (7x + 8y)) = 0
((56xy + 49x2) + 2y * (7x + 8y)) = 0
(56xy + 49x2 + (7x * 2y + 8y * 2y)) = 0
(56xy + 49x2 + (14xy + 16y2)) = 0

Reorder the terms:
(56xy + 14xy + 49x2 + 16y2) = 0

Combine like terms: 56xy + 14xy = 70xy
(70xy + 49x2 + 16y2) = 0

Solving
70xy + 49x2 + 16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 2y)(7x + 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 '(7x + 8y)' equal to zero and attempt to solve:

Simplifying
7x + 8y = 0

Solving
7x + 8y = 0

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

Add '-8y' to each side of the equation.
7x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
7x + 0 = 0 + -8y
7x = 0 + -8y
Remove the zero:
7x = -8y

Divide each side by '7'.
x = -1.142857143y

Simplifying
x = -1.142857143y
Solution
x = {-0.2857142857y, -1.142857143y}

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