How to solve y=x2/3-5x

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=x2/3-5x | Equatix

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$y=x2/3-5x$$

Solve for x

$x=\frac{x_{2}-3y}{15}$

Steps for Solving Linear Equation

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

$$\frac{x_{2}}{3}-5x=y$$

Subtract $\frac{x_{2}}{3}$ from both sides.

$$-5x=y-\frac{x_{2}}{3}$$

Multiply both sides of the equation by $3$.

$$-15x=3y-x_{2}$$

Divide both sides by $-15$.

$$\frac{-15x}{-15}=\frac{3y-x_{2}}{-15}$$

Dividing by $-15$ undoes the multiplication by $-15$.

$$x=\frac{3y-x_{2}}{-15}$$

Divide $3y-x_{2}$ by $-15$.

$$x=\frac{x_{2}}{15}-\frac{y}{5}$$

Show Solution

Solve for x_2

$x_{2}=3\left(5x+y\right)$

Solution Steps

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

$$\frac{x_{2}}{3}-5x=y$$

Add $5x$ to both sides.

$$\frac{x_{2}}{3}=y+5x$$

Multiply both sides of the equation by $3$.

$$x_{2}=3y+15x$$

Show Solution

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