((x+30)*(x+26)/4)=x*x+26x

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Solution for ((x+30)*(x+26)/4)=x*x+26x equation: 


x in (-oo:+oo)

((x+30)*(x+26))/4 = x*x+26*x // - x*x+26*x

((x+30)*(x+26))/4-(x*x)-(26*x) = 0

((x+30)*(x+26))/4-x^2-26*x = 0

((x+30)*(x+26))/4+(4*(-x^2))/4+(-26*4*x)/4 = 0

(x+30)*(x+26)+4*(-x^2)-26*4*x = 0

56*x-3*x^2-104*x+780 = 0

780-3*x^2-48*x = 0

780-3*x^2-48*x = 0

3*(260-x^2-16*x) = 0

260-x^2-16*x = 0

DELTA = (-16)^2-(-1*4*260)

DELTA = 1296

DELTA > 0

x = (1296^(1/2)+16)/(-1*2) or x = (16-1296^(1/2))/(-1*2)

x = -26 or x = 10

3*(x+26)*(x-10) = 0

(3*(x+26)*(x-10))/4 = 0

(3*(x+26)*(x-10))/4 = 0 // * 4

3*(x+26)*(x-10) = 0

( x+26 )

x+26 = 0 // - 26

x = -26

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -26, 10 }

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