Write as a Function of x 3x^2-5x-y=-2y

$3 x^{2} - 5 x - y = - 2 y$

Step 1

Move all terms containing $y$ to the left side of the equation.

Add $2 y$ to both sides of the equation.

$3 x^{2} - 5 x - y + 2 y = 0$

Add $- y$ and $2 y$ .

$3 x^{2} - 5 x + y = 0$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Subtract $3 x^{2}$ from both sides of the equation.

$- 5 x + y = - 3 x^{2}$

Add $5 x$ to both sides of the equation.

$y = - 3 x^{2} + 5 x$

Step 3

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = - 3 x^{2} + 5 x$

Write as a Function of x 3x^2-5x-y=-2y

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