(4x+y)(4x-y)-61=0

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Solution for (4x+y)(4x-y)-61=0 equation: 


Simplifying
(4x + y)(4x + -1y) + -61 = 0

Multiply (4x + y) * (4x + -1y)
(4x * (4x + -1y) + y(4x + -1y)) + -61 = 0
((4x * 4x + -1y * 4x) + y(4x + -1y)) + -61 = 0

Reorder the terms:
((-4xy + 16x2) + y(4x + -1y)) + -61 = 0
((-4xy + 16x2) + y(4x + -1y)) + -61 = 0
(-4xy + 16x2 + (4x * y + -1y * y)) + -61 = 0
(-4xy + 16x2 + (4xy + -1y2)) + -61 = 0

Reorder the terms:
(-4xy + 4xy + 16x2 + -1y2) + -61 = 0

Combine like terms: -4xy + 4xy = 0
(0 + 16x2 + -1y2) + -61 = 0
(16x2 + -1y2) + -61 = 0

Reorder the terms:
-61 + 16x2 + -1y2 = 0

Solving
-61 + 16x2 + -1y2 = 0

Solving for variable 'x'.

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

Add '61' to each side of the equation.
-61 + 16x2 + 61 + -1y2 = 0 + 61

Reorder the terms:
-61 + 61 + 16x2 + -1y2 = 0 + 61

Combine like terms: -61 + 61 = 0
0 + 16x2 + -1y2 = 0 + 61
16x2 + -1y2 = 0 + 61

Combine like terms: 0 + 61 = 61
16x2 + -1y2 = 61

Add 'y2' to each side of the equation.
16x2 + -1y2 + y2 = 61 + y2

Combine like terms: -1y2 + y2 = 0
16x2 + 0 = 61 + y2
16x2 = 61 + y2

Divide each side by '16'.
x2 = 3.8125 + 0.0625y2

Simplifying
x2 = 3.8125 + 0.0625y2

Reorder the terms:
-3.8125 + x2 + -0.0625y2 = 3.8125 + 0.0625y2 + -3.8125 + -0.0625y2

Reorder the terms:
-3.8125 + x2 + -0.0625y2 = 3.8125 + -3.8125 + 0.0625y2 + -0.0625y2

Combine like terms: 3.8125 + -3.8125 = 0.0000
-3.8125 + x2 + -0.0625y2 = 0.0000 + 0.0625y2 + -0.0625y2
-3.8125 + x2 + -0.0625y2 = 0.0625y2 + -0.0625y2

Combine like terms: 0.0625y2 + -0.0625y2 = 0.0000
-3.8125 + x2 + -0.0625y2 = 0.0000

The solution to this equation could not be determined.

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