Chapter 49, Problem 12AR

In Exercises 11 and 12, solve for the unknown and check each of the combined operations equations. Round the answers to 3 decimal places where necessary.
a. $12x^2-53=\left(x-3\right)\left(x+3\right)$
b. $-8.53\left(G-3.67\right)=5.7\left(-18.36\right)$
c. $\left(T-7.8\right)\left(T-8\right)=T^2+0.3$
d. $59.66\sqrt{x}=8.71\left(1.07\sqrt{x+55.32}\right)$
e. $H+5.023\sqrt{H}=-9.777\sqrt{H}+H$