x^2+(x+14)^2=34^2x^2+x^2+28x+196=11562x^2+28x-960=0x^2+14x-480=0(x+30)(x-16)=0x=16

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Solution for x^2+(x+14)^2=34^2x^2+x^2+28x+196=11562x^2+28x-960=0x^2+14x-480=0(x+30)(x-16)=0x=16 equation: 



x^2+(x+14)^2=34^2x^2+x^2+28x+196=11562x^2+28x-960=0x^2+14x-480=0(x+30)(x-16)=0x=16

We move all terms to the left:

x^2+(x+14)^2-(34^2x^2+x^2+28x+196)=0

We get rid of parentheses

x^2-x^2-34^2x^2-28x+(x+14)^2-196=0

We add all the numbers together, and all the variables

-28x-34^2x^2+(x+14)^2-196=0

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

-28x-34^2x^2+(x+14)^2=196

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