10x-2sqr(x)(2y+3)+4y^2+1=0

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Solution for 10x-2sqr(x)(2y+3)+4y^2+1=0 equation: 


Simplifying
10x + -2sqr(x)(2y + 3) + 4y2 + 1 = 0

Reorder the terms:
10x + -2qrs * x(3 + 2y) + 4y2 + 1 = 0

Multiply qrs * x
10x + -2qrsx(3 + 2y) + 4y2 + 1 = 0
10x + (3 * -2qrsx + 2y * -2qrsx) + 4y2 + 1 = 0
10x + (-6qrsx + -4qrsxy) + 4y2 + 1 = 0

Reorder the terms:
1 + -6qrsx + -4qrsxy + 10x + 4y2 = 0

Solving
1 + -6qrsx + -4qrsxy + 10x + 4y2 = 0

Solving for variable 'q'.

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

Add '-1' to each side of the equation.
1 + -6qrsx + -4qrsxy + 10x + -1 + 4y2 = 0 + -1

Reorder the terms:
1 + -1 + -6qrsx + -4qrsxy + 10x + 4y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6qrsx + -4qrsxy + 10x + 4y2 = 0 + -1
-6qrsx + -4qrsxy + 10x + 4y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-6qrsx + -4qrsxy + 10x + 4y2 = -1

Add '-10x' to each side of the equation.
-6qrsx + -4qrsxy + 10x + -10x + 4y2 = -1 + -10x

Combine like terms: 10x + -10x = 0
-6qrsx + -4qrsxy + 0 + 4y2 = -1 + -10x
-6qrsx + -4qrsxy + 4y2 = -1 + -10x

Add '-4y2' to each side of the equation.
-6qrsx + -4qrsxy + 4y2 + -4y2 = -1 + -10x + -4y2

Combine like terms: 4y2 + -4y2 = 0
-6qrsx + -4qrsxy + 0 = -1 + -10x + -4y2
-6qrsx + -4qrsxy = -1 + -10x + -4y2

Reorder the terms:
1 + -6qrsx + -4qrsxy + 10x + 4y2 = -1 + -10x + -4y2 + 1 + 10x + 4y2

Reorder the terms:
1 + -6qrsx + -4qrsxy + 10x + 4y2 = -1 + 1 + -10x + 10x + -4y2 + 4y2

Combine like terms: -1 + 1 = 0
1 + -6qrsx + -4qrsxy + 10x + 4y2 = 0 + -10x + 10x + -4y2 + 4y2
1 + -6qrsx + -4qrsxy + 10x + 4y2 = -10x + 10x + -4y2 + 4y2

Combine like terms: -10x + 10x = 0
1 + -6qrsx + -4qrsxy + 10x + 4y2 = 0 + -4y2 + 4y2
1 + -6qrsx + -4qrsxy + 10x + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
1 + -6qrsx + -4qrsxy + 10x + 4y2 = 0

The solution to this equation could not be determined.

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