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

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


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

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

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

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

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

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

Solving for variable 'x'.

Factor a trinomial.
(2x + -7y)(2x + -7y) = 0


Subproblem 1
Set the factor '(2x + -7y)' equal to zero and attempt to solve:

Simplifying
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y

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

Simplifying
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y
Solution
x = {3.5y, 3.5y}

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