Question

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Answer 1

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