8+(x+3)^2=x(x-6)-7

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Solution for 8+(x+3)^2=x(x-6)-7 equation:



8+(x+3)^2=x(x-6)-7
We move all terms to the left:
8+(x+3)^2-(x(x-6)-7)=0
We calculate terms in parentheses: -(x(x-6)-7), so:
x(x-6)-7
We multiply parentheses
x^2-6x-7
Back to the equation:
-(x^2-6x-7)
We get rid of parentheses
-x^2+(x+3)^2+6x+7+8=0
We add all the numbers together, and all the variables
-1x^2+6x+(x+3)^2+15=0
We move all terms containing x to the left, all other terms to the right
-1x^2+6x+(x+3)^2=-15

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