(7x-2y)(7x-2y)=

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


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

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

Reorder the terms:
((-14xy + 49x2) + -2y * (7x + -2y)) = 0
((-14xy + 49x2) + -2y * (7x + -2y)) = 0
(-14xy + 49x2 + (7x * -2y + -2y * -2y)) = 0
(-14xy + 49x2 + (-14xy + 4y2)) = 0

Reorder the terms:
(-14xy + -14xy + 49x2 + 4y2) = 0

Combine like terms: -14xy + -14xy = -28xy
(-28xy + 49x2 + 4y2) = 0

Solving
-28xy + 49x2 + 4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -2y)(7x + -2y) = 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 + -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
Solution
x = {0.2857142857y, 0.2857142857y}

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