(4x-2y)(4x+2y)=70

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Solution for (4x-2y)(4x+2y)=70 equation:


Simplifying
(4x + -2y)(4x + 2y) = 70

Multiply (4x + -2y) * (4x + 2y)
(4x * (4x + 2y) + -2y * (4x + 2y)) = 70
((4x * 4x + 2y * 4x) + -2y * (4x + 2y)) = 70

Reorder the terms:
((8xy + 16x2) + -2y * (4x + 2y)) = 70
((8xy + 16x2) + -2y * (4x + 2y)) = 70
(8xy + 16x2 + (4x * -2y + 2y * -2y)) = 70
(8xy + 16x2 + (-8xy + -4y2)) = 70

Reorder the terms:
(8xy + -8xy + 16x2 + -4y2) = 70

Combine like terms: 8xy + -8xy = 0
(0 + 16x2 + -4y2) = 70
(16x2 + -4y2) = 70

Solving
16x2 + -4y2 = 70

Solving for variable 'x'.

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

Add '4y2' to each side of the equation.
16x2 + -4y2 + 4y2 = 70 + 4y2

Combine like terms: -4y2 + 4y2 = 0
16x2 + 0 = 70 + 4y2
16x2 = 70 + 4y2

Divide each side by '16'.
x2 = 4.375 + 0.25y2

Simplifying
x2 = 4.375 + 0.25y2

Reorder the terms:
-4.375 + x2 + -0.25y2 = 4.375 + 0.25y2 + -4.375 + -0.25y2

Reorder the terms:
-4.375 + x2 + -0.25y2 = 4.375 + -4.375 + 0.25y2 + -0.25y2

Combine like terms: 4.375 + -4.375 = 0.000
-4.375 + x2 + -0.25y2 = 0.000 + 0.25y2 + -0.25y2
-4.375 + x2 + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-4.375 + x2 + -0.25y2 = 0.00

The solution to this equation could not be determined.

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