(((2x-4)^2)/4)-4x=349

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Solution for (((2x-4)^2)/4)-4x=349 equation:


x in (-oo:+oo)

((2*x-4)^2)/4-(4*x) = 349 // - 349

((2*x-4)^2)/4-(4*x)-349 = 0

((2*x-4)^2)/4-4*x-349 = 0

((2*x-4)^2)/4+(-4*4*x)/4+(-349*4)/4 = 0

(2*x-4)^2-4*4*x-349*4 = 0

4*x^2-32*x-1396+16 = 0

4*x^2-32*x-1380 = 0

4*x^2-32*x-1380 = 0

4*(x^2-8*x-345) = 0

x^2-8*x-345 = 0

DELTA = (-8)^2-(-345*1*4)

DELTA = 1444

DELTA > 0

x = (1444^(1/2)+8)/(1*2) or x = (8-1444^(1/2))/(1*2)

x = 23 or x = -15

4*(x+15)*(x-23) = 0

(4*(x+15)*(x-23))/4 = 0

(4*(x+15)*(x-23))/4 = 0 // * 4

4*(x+15)*(x-23) = 0

( x+15 )

x+15 = 0 // - 15

x = -15

( x-23 )

x-23 = 0 // + 23

x = 23

x in { -15, 23 }

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