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1. [latex] (x-7)^{2} [/latex]+3=(x-2)*(x+2) [latex] x^{2} [/latex]-14x+49+3=[latex] x^{2} [/latex]-[latex] 2^{2} [/latex] [latex] x^{2} [/latex]-14x-[latex] x^{2} [/latex]=-4-52 14x=-56 x=-4 2. (x+1)*(x+2)-(x-3)*(x+4)=6 [latex] x^{2} [/latex]+2x+x+2-[latex] x^{2} [/latex]-4x+3x+12=6 2x=6-14 2x=-8 x=-4 3. 8m*(1+2m)-(4m+3)*(4m-3)=2m 8m+[latex] 4m^{2} [/latex]-([latex] 4m^{2} [/latex])+9=2m 6m=-9 m=-[latex] \frac{9}{6} [/latex]=1.5 4. [latex] (2x-3)^{2} [/latex]-2x*(4+2x)=11 4[latex] x^{2} [/latex]-12x+9-8x-4[latex] x^{2} [/latex]=11 -20x=15 x=-[latex] \frac{15}{20} [/latex]=0.75 5. (8-9a)*a=-40(6-3a)(6+3a) 8a-9[latex] a^{2} [/latex]=-40*36-9[latex]a^{2} [/latex] 8a=-1440 a=-180 6. [latex] (x+6)^{2} [/latex]-(x-5)*(x+5)=79 [latex] x^{2} [/latex]+12x+36-[latex] x^{2} [/latex]+25=79 12x=18 x=[latex] \frac{18}{12} [/latex]=1.5 7. (6y+2)*(5-y)=47-(2y-3)*(3y-1) 30y-6[latex] y^{2} [/latex]+10-2y=47-6[latex] y^{2} [/latex]+2y+9y-3y 20y=37 y=[latex] \frac{37}{20} [/latex]=1.85