((x-4)(x+10))/2=4(x-4)^2

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Solution for ((x-4)(x+10))/2=4(x-4)^2 equation: 


x in (-oo:+oo)

((x-4)*(x+10))/2 = 4*(x-4)^2 // - 4*(x-4)^2

((x-4)*(x+10))/2-(4*(x-4)^2) = 0

((x-4)*(x+10))/2-4*(x-4)^2 = 0

((x-4)*(x+10))/2+(-4*2*(x-4)^2)/2 = 0

(x-4)*(x+10)-4*2*(x-4)^2 = 0

70*x-7*x^2-168 = 0

70*x-7*x^2-168 = 0

7*(10*x-x^2-24) = 0

10*x-x^2-24 = 0

DELTA = 10^2-(-24*(-1)*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)-10)/(-1*2) or x = (-4^(1/2)-10)/(-1*2)

x = 4 or x = 6

7*(x-4)*(x-6) = 0

(7*(x-4)*(x-6))/2 = 0

(7*(x-4)*(x-6))/2 = 0 // * 2

7*(x-4)*(x-6) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 4, 6 }

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