How to solve y=-(x+1)(-3)^(2)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve y=-(x+1)(-3)^(2) | Equatix

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Question

$$y=-(x+1) { -3 }^{ 2 }$$

Solve for x

$x=-\frac{y}{9}-1$

Steps for Solving Linear Equation

To find the opposite of $x+1$, find the opposite of each term.

$$y=\left(-x-1\right)\left(-3\right)^{2}$$

Calculate $-3$ to the power of $2$ and get $9$.

$$y=\left(-x-1\right)\times 9$$

Use the distributive property to multiply $-x-1$ by $9$.

$$y=-9x-9$$

Swap sides so that all variable terms are on the left hand side.

$$-9x-9=y$$

Add $9$ to both sides.

$$-9x=y+9$$

Divide both sides by $-9$.

$$\frac{-9x}{-9}=\frac{y+9}{-9}$$

Dividing by $-9$ undoes the multiplication by $-9$.

$$x=\frac{y+9}{-9}$$

Divide $y+9$ by $-9$.

$$x=-\frac{y}{9}-1$$

Show Solution

Solve for y

$y=-9x-9$

Solution Steps