(y-2x)(y+2x)=20

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Solution for (y-2x)(y+2x)=20 equation:


Simplifying
(y + -2x)(y + 2x) = 20

Reorder the terms:
(-2x + y)(y + 2x) = 20

Reorder the terms:
(-2x + y)(2x + y) = 20

Multiply (-2x + y) * (2x + y)
(-2x * (2x + y) + y(2x + y)) = 20
((2x * -2x + y * -2x) + y(2x + y)) = 20

Reorder the terms:
((-2xy + -4x2) + y(2x + y)) = 20
((-2xy + -4x2) + y(2x + y)) = 20
(-2xy + -4x2 + (2x * y + y * y)) = 20
(-2xy + -4x2 + (2xy + y2)) = 20

Reorder the terms:
(-2xy + 2xy + -4x2 + y2) = 20

Combine like terms: -2xy + 2xy = 0
(0 + -4x2 + y2) = 20
(-4x2 + y2) = 20

Solving
-4x2 + y2 = 20

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
-4x2 + y2 + -1y2 = 20 + -1y2

Combine like terms: y2 + -1y2 = 0
-4x2 + 0 = 20 + -1y2
-4x2 = 20 + -1y2

Divide each side by '-4'.
x2 = -5 + 0.25y2

Simplifying
x2 = -5 + 0.25y2

Reorder the terms:
5 + x2 + -0.25y2 = -5 + 0.25y2 + 5 + -0.25y2

Reorder the terms:
5 + x2 + -0.25y2 = -5 + 5 + 0.25y2 + -0.25y2

Combine like terms: -5 + 5 = 0
5 + x2 + -0.25y2 = 0 + 0.25y2 + -0.25y2
5 + x2 + -0.25y2 = 0.25y2 + -0.25y2

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

The solution to this equation could not be determined.

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