What is the answer to solvefor y,4xy-y-16x=5x^2 ?

The answer to solvefor y,4xy-y-16x=5x^2 is y=(5x^2+16x)/(4x-1);\quad x\ne 1/4

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solvefor y,4xy-y-16x=5x^2

solve for

y, 4 x y - y - 16 x = 5 x^{2}

y = \frac{5 x ^{2} + 16 x}{4 x - 1}; x \neq = \frac{1}{4}

Solution steps

4 x y - y - 16 x = 5 x^{2}

Move

16 x

to the right side

4 x y - y = 5 x^{2} + 16 x

Factor

4 x y - y : y (4 x - 1)

y (4 x - 1) = 5 x^{2} + 16 x

Divide both sides by

4 x - 1; x \neq = \frac{1}{4}

y = \frac{5 x ^{2} + 16 x}{4 x - 1}; x \neq = \frac{1}{4}

3 x^{2} = - 4 x + 3

n (n - 24) = - 128

- 16 x^{2} + 144 x = 0

9 x^{2} = 30 x - 28

x (x + 1) = 38 + 6

What is the answer to solvefor y,4xy-y-16x=5x^2 ?
The answer to solvefor y,4xy-y-16x=5x^2 is y=(5x^2+16x)/(4x-1);\quad x\ne 1/4