(2x^2-20x+25)/2=(2x-6)*(2x+8)

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Solution for (2x^2-20x+25)/2=(2x-6)*(2x+8) equation:


x in (-oo:+oo)

(2*x^2-(20*x)+25)/2 = (2*x-6)*(2*x+8) // - (2*x-6)*(2*x+8)

(2*x^2-(20*x)+25)/2-((2*x-6)*(2*x+8)) = 0

(2*x^2-20*x+25)/2-((2*x-6)*(2*x+8)) = 0

(2*x^2-20*x+25)/2-1*(2*x-6)*(2*x+8) = 0

(2*x^2-20*x+25)/2+(-1*2*(2*x-6)*(2*x+8))/2 = 0

2*x^2-1*2*(2*x-6)*(2*x+8)-20*x+25 = 0

121-6*x^2-28*x = 0

121-6*x^2-28*x = 0

121-6*x^2-28*x = 0

DELTA = (-28)^2-(-6*4*121)

DELTA = 3688

DELTA > 0

x = (3688^(1/2)+28)/(-6*2) or x = (28-3688^(1/2))/(-6*2)

x = (2*922^(1/2)+28)/(-12) or x = (28-2*922^(1/2))/(-12)

(x-((2*922^(1/2)+28)/(-12)))*(x-((28-2*922^(1/2))/(-12))) = 0

((x-((2*922^(1/2)+28)/(-12)))*(x-((28-2*922^(1/2))/(-12))))/2 = 0

((x-((2*922^(1/2)+28)/(-12)))*(x-((28-2*922^(1/2))/(-12))))/2 = 0 // * 2

(x-((2*922^(1/2)+28)/(-12)))*(x-((28-2*922^(1/2))/(-12))) = 0

( x-((2*922^(1/2)+28)/(-12)) )

x-((2*922^(1/2)+28)/(-12)) = 0 // + (2*922^(1/2)+28)/(-12)

x = (2*922^(1/2)+28)/(-12)

( x-((28-2*922^(1/2))/(-12)) )

x-((28-2*922^(1/2))/(-12)) = 0 // + (28-2*922^(1/2))/(-12)

x = (28-2*922^(1/2))/(-12)

x in { (2*922^(1/2)+28)/(-12), (28-2*922^(1/2))/(-12) }

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