Question

Solve the equation. Check your solution.

$-4\left(9g\right)=252$

Short answer

Solution of given equation is $g=-7$.

Step-by-step solution

Step-1- Solve the equation for g

$-4\left(9g\right)=252$

On simplifying, we get

$-36g=252$

Dividing with $-36$on both sides, we get

$\begin{array}{c}\frac{-36g}{-36}=\frac{252}{-36}\\ g=\frac{252}{-36}\\ g=-7\end{array}$

Step-2-Verification of our solution

For checking our answer, substitute $g=-7$in given equation $-4\left(9g\right)=252$.

On substituting, we get

$\begin{array}{c}-4\left(9g\right)=252\\ -4(9\times -7)=252\\ -4\times -63=252\\ 252=252\end{array}$

Step-3- Conclusion

Here, as both sides above expression are equal, our answer is true.