Rozwiąz równanie 8x-x(x-6)+(x do poptęgi drugiej -7)=6(x+3)-x(x-8)
po uproszczeniu
x²-x(x-6)+8x-7=6(x+3)-x(x-8) /-6(x+3)-x(x-8)
x(x-8)-x(x-6)-6(x+3)+x²+8x-7=0
x(x-8)-1*x(x-6)-1*6(x+3)+x²+8x-7=0
x²-x²+x²-8x+8x-18-7=0
x²-8x+8x-18-7=0
x²-18-7=0
x²-25=0
x²=25 /:1
x²=25 / ½
|x|=5
x=5 x= -5
x∈{5,-5}
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po uproszczeniu
x²-x(x-6)+8x-7=6(x+3)-x(x-8) /-6(x+3)-x(x-8)
x(x-8)-x(x-6)-6(x+3)+x²+8x-7=0
x(x-8)-1*x(x-6)-1*6(x+3)+x²+8x-7=0
x²-x²+x²-8x+8x-18-7=0
x²-8x+8x-18-7=0
x²-18-7=0
x²-25=0
x²=25 /:1
x²=25 / ½
|x|=5
x=5 x= -5
x∈{5,-5}