Write in Standard Form x^2+4x+8y+36=0

$x^{2} + 4 x + 8 y + 36 = 0$

Step 1

Solve for $y$ .

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

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

$4 x + 8 y + 36 = - x^{2}$

Subtract $4 x$ from both sides of the equation.

$8 y + 36 = - x^{2} - 4 x$

Subtract $36$ from both sides of the equation.

$8 y = - x^{2} - 4 x - 36$

Divide each term in $8 y = - x^{2} - 4 x - 36$ by $8$ and simplify.

Divide each term in $8 y = - x^{2} - 4 x - 36$ by $8$ .

$\frac{8 y}{8} = \frac{- x^{2}}{8} + \frac{- 4 x}{8} + \frac{- 36}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{- x^{2}}{8} + \frac{- 4 x}{8} + \frac{- 36}{8}$

Divide $y$ by $1$ .

$y = \frac{- x^{2}}{8} + \frac{- 4 x}{8} + \frac{- 36}{8}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{x^{2}}{8} + \frac{- 4 x}{8} + \frac{- 36}{8}$

Cancel the common factor of $- 4$ and $8$ .

Factor $4$ out of $- 4 x$ .

$y = - \frac{x^{2}}{8} + \frac{4 (- x)}{8} + \frac{- 36}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$y = - \frac{x^{2}}{8} + \frac{4 (- x)}{4 (2)} + \frac{- 36}{8}$

Cancel the common factor.

$y = - \frac{x^{2}}{8} + \frac{4 (- x)}{4 \cdot 2} + \frac{- 36}{8}$

Rewrite the expression.

$y = - \frac{x^{2}}{8} + \frac{- x}{2} + \frac{- 36}{8}$

Move the negative in front of the fraction.

$y = - \frac{x^{2}}{8} - \frac{x}{2} + \frac{- 36}{8}$

Cancel the common factor of $- 36$ and $8$ .

Factor $4$ out of $- 36$ .

$y = - \frac{x^{2}}{8} - \frac{x}{2} + \frac{4 (- 9)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$y = - \frac{x^{2}}{8} - \frac{x}{2} + \frac{4 \cdot - 9}{4 \cdot 2}$

Cancel the common factor.

$y = - \frac{x^{2}}{8} - \frac{x}{2} + \frac{4 \cdot - 9}{4 \cdot 2}$

Rewrite the expression.

$y = - \frac{x^{2}}{8} - \frac{x}{2} + \frac{- 9}{2}$

Move the negative in front of the fraction.

$y = - \frac{x^{2}}{8} - \frac{x}{2} - \frac{9}{2}$

Step 2

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 3

Reorder terms.

$y = - (\frac{1}{8} x^{2}) - (\frac{1}{2} x) - \frac{9}{2}$

Step 4

Remove parentheses.

$y = - \frac{1}{8} x^{2} - (\frac{1}{2} x) - \frac{9}{2}$

Step 5

Remove parentheses.

$y = - \frac{1}{8} x^{2} - \frac{1}{2} x - \frac{9}{2}$

Step 6

Write in Standard Form x^2+4x+8y+36=0

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