(x+5)^2=(1-x)(1+x)+24

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Solution for (x+5)^2=(1-x)(1+x)+24 equation:



(x+5)^2=(1-x)(1+x)+24
We move all terms to the left:
(x+5)^2-((1-x)(1+x)+24)=0
We add all the numbers together, and all the variables
(x+5)^2-((-1x+1)(x+1)+24)=0
We multiply parentheses ..
-((-1x^2-1x+x+1)+24)+(x+5)^2=0
We calculate terms in parentheses: -((-1x^2-1x+x+1)+24), so:
(-1x^2-1x+x+1)+24
We get rid of parentheses
-1x^2-1x+x+1+24
We add all the numbers together, and all the variables
-1x^2+25
Back to the equation:
-(-1x^2+25)
We get rid of parentheses
1x^2+(x+5)^2-25=0
We add all the numbers together, and all the variables
x^2+(x+5)^2-25=0
We move all terms containing x to the left, all other terms to the right
x^2+(x+5)^2=25

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