(3x-1)^2+(4x+1)^2=(5x-1)*(5x+1)+1

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Solution for (3x-1)^2+(4x+1)^2=(5x-1)*(5x+1)+1 equation: 



(3x-1)^2+(4x+1)^2=(5x-1)(5x+1)+1

We move all terms to the left:

(3x-1)^2+(4x+1)^2-((5x-1)(5x+1)+1)=0

We use the square of the difference formula

25x^2+(3x-1)^2+(4x+1)^2+1=0

We move all terms containing x to the left, all other terms to the right

25x^2+(3x-1)^2+(4x+1)^2=-1

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