(2x-4y+7)(2x+4y-7)=

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Solution for (2x-4y+7)(2x+4y-7)= equation: 


Simplifying
(2x + -4y + 7)(2x + 4y + -7) = 0

Reorder the terms:
(7 + 2x + -4y)(2x + 4y + -7) = 0

Reorder the terms:
(7 + 2x + -4y)(-7 + 2x + 4y) = 0

Multiply (7 + 2x + -4y) * (-7 + 2x + 4y)
(7(-7 + 2x + 4y) + 2x * (-7 + 2x + 4y) + -4y * (-7 + 2x + 4y)) = 0
((-7 * 7 + 2x * 7 + 4y * 7) + 2x * (-7 + 2x + 4y) + -4y * (-7 + 2x + 4y)) = 0
((-49 + 14x + 28y) + 2x * (-7 + 2x + 4y) + -4y * (-7 + 2x + 4y)) = 0
(-49 + 14x + 28y + (-7 * 2x + 2x * 2x + 4y * 2x) + -4y * (-7 + 2x + 4y)) = 0

Reorder the terms:
(-49 + 14x + 28y + (-14x + 8xy + 4x2) + -4y * (-7 + 2x + 4y)) = 0
(-49 + 14x + 28y + (-14x + 8xy + 4x2) + -4y * (-7 + 2x + 4y)) = 0
(-49 + 14x + 28y + -14x + 8xy + 4x2 + (-7 * -4y + 2x * -4y + 4y * -4y)) = 0

Reorder the terms:
(-49 + 14x + 28y + -14x + 8xy + 4x2 + (-8xy + 28y + -16y2)) = 0
(-49 + 14x + 28y + -14x + 8xy + 4x2 + (-8xy + 28y + -16y2)) = 0

Reorder the terms:
(-49 + 14x + -14x + 8xy + -8xy + 4x2 + 28y + 28y + -16y2) = 0

Combine like terms: 14x + -14x = 0
(-49 + 0 + 8xy + -8xy + 4x2 + 28y + 28y + -16y2) = 0
(-49 + 8xy + -8xy + 4x2 + 28y + 28y + -16y2) = 0

Combine like terms: 8xy + -8xy = 0
(-49 + 0 + 4x2 + 28y + 28y + -16y2) = 0
(-49 + 4x2 + 28y + 28y + -16y2) = 0

Combine like terms: 28y + 28y = 56y
(-49 + 4x2 + 56y + -16y2) = 0

Solving
-49 + 4x2 + 56y + -16y2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 4x2 + 56y + 49 + -16y2 = 0 + 49

Reorder the terms:
-49 + 49 + 4x2 + 56y + -16y2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 + 56y + -16y2 = 0 + 49
4x2 + 56y + -16y2 = 0 + 49

Combine like terms: 0 + 49 = 49
4x2 + 56y + -16y2 = 49

Add '-56y' to each side of the equation.
4x2 + 56y + -56y + -16y2 = 49 + -56y

Combine like terms: 56y + -56y = 0
4x2 + 0 + -16y2 = 49 + -56y
4x2 + -16y2 = 49 + -56y

Add '16y2' to each side of the equation.
4x2 + -16y2 + 16y2 = 49 + -56y + 16y2

Combine like terms: -16y2 + 16y2 = 0
4x2 + 0 = 49 + -56y + 16y2
4x2 = 49 + -56y + 16y2

Divide each side by '4'.
x2 = 12.25 + -14y + 4y2

Simplifying
x2 = 12.25 + -14y + 4y2

Reorder the terms:
-12.25 + x2 + 14y + -4y2 = 12.25 + -14y + 4y2 + -12.25 + 14y + -4y2

Reorder the terms:
-12.25 + x2 + 14y + -4y2 = 12.25 + -12.25 + -14y + 14y + 4y2 + -4y2

Combine like terms: 12.25 + -12.25 = 0.00
-12.25 + x2 + 14y + -4y2 = 0.00 + -14y + 14y + 4y2 + -4y2
-12.25 + x2 + 14y + -4y2 = -14y + 14y + 4y2 + -4y2

Combine like terms: -14y + 14y = 0
-12.25 + x2 + 14y + -4y2 = 0 + 4y2 + -4y2
-12.25 + x2 + 14y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-12.25 + x2 + 14y + -4y2 = 0

The solution to this equation could not be determined.

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