How to solve (30)/(18)y+150y

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 (30)/(18)y+150y | Equatix

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$$\frac{ 30 }{ 18 } y+150y$$

$\frac{455y}{3}$

$\frac{455}{3} = 151\frac{2}{3} = 151.66666666666666$

Reduce the fraction $\frac{30}{18}$ to lowest terms by extracting and canceling out $6$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{5}{3}y+150y)$$

Combine $\frac{5}{3}y$ and $150y$ to get $\frac{455}{3}y$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{455}{3}y)$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$\frac{455}{3}y^{1-1}$$

Subtract $1$ from $1$.

$$\frac{455}{3}y^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$\frac{455}{3}\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$\frac{455}{3}$$