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Solve the following quadratic equations:

Question 1: ${\Large\frac{-64g+11}{9g-5}}=7g+1$	Question 2: $(d-4)^2+(2d-6)^2=(3d-14)^2$
Question 3: ${\Large\frac{-81e-42}{5e-6}}=3e-1$	Question 4: $35b^2-63b=-6b+8b^2-20$
Question 5: $19v^2-14v=-12v-29v^2+35$	Question 6: $-{\Large\frac{20}{u}}+{\Large\frac{63}{u+1}}=10$
Question 7: $(w-5)^2+(3w-12)^2=(4w-23)^2$	Question 8: ${\Large\frac{38c+43}{7c+3}}=6c+1$
Question 9: $(n-3)^2+(n-2)^2=(n-1)^2$	Question 10: $-{\Large\frac{25}{y+1}}+{\Large\frac{56}{y+2}}=6$
Question 11: $-{\Large\frac{40}{t-2}}+{\Large\frac{3}{t-1}}=20$	Question 12: ${\Large\frac{72q-15}{4q+3}}=5q+1$
Question 13: $(z+1)^2+(2z+1)^2=(2z+3)^2$	Question 14: $16p^2-56p=-4p-16p^2-15$
Question 15: $-{\Large\frac{104}{a+2}}+{\Large\frac{198}{a+3}}=15$	Question 16: $26r^2+21r=2r+8r^2+12$

Answers

Question 1: $(9g+8)(7g-2)=0$ $\implies g=-{\Large\frac{8}{9}} , g={\Large\frac{2}{7}}$	Question 2: $4(d-4)(d-9)=0$ $\implies d=4 , d=9$
Question 3: $(5e+6)(3e+8)=0$ $\implies e=-{\Large\frac{6}{5}} , e=-{\Large\frac{8}{3}}$	Question 4: $(9b-4)(3b-5)=0$ $\implies b={\Large\frac{4}{9}} , b={\Large\frac{5}{3}}$
Question 5: $(6v+5)(8v-7)=0$ $\implies v=-{\Large\frac{5}{6}} , v={\Large\frac{7}{8}}$	Question 6: $(2u-5)(5u-4)=0$ $\implies u={\Large\frac{5}{2}} , u={\Large\frac{4}{5}}$
Question 7: $6(w-5)(w-12)=0$ $\implies w=5 , w=12$	Question 8: $(7c-8)(6c+5)=0$ $\implies c={\Large\frac{8}{7}} , c=-{\Large\frac{5}{6}}$
Question 9: $(n-6)(n-2)=0$ $\implies n=6 , n=2$	Question 10: $(3y-2)(2y-3)=0$ $\implies y={\Large\frac{2}{3}} , y={\Large\frac{3}{2}}$
Question 11: $(4t-3)(5t-2)=0$ $\implies t={\Large\frac{3}{4}} , t={\Large\frac{2}{5}}$	Question 12: $(4q-9)(5q-2)=0$ $\implies q={\Large\frac{9}{4}} , q={\Large\frac{2}{5}}$
Question 13: $(z+1)(z-7)=0$ $\implies z=-1 , z=7$	Question 14: $(8p-3)(4p-5)=0$ $\implies p={\Large\frac{3}{8}} , p={\Large\frac{5}{4}}$
Question 15: $(5a-3)(3a-2)=0$ $\implies a={\Large\frac{3}{5}} , a={\Large\frac{2}{3}}$	Question 16: $(2r+3)(9r-4)=0$ $\implies r=-{\Large\frac{3}{2}} , r={\Large\frac{4}{9}}$