25(x+1/2)^2=144

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Solution for 25(x+1/2)^2=144 equation: 


x in (-oo:+oo)

25*(x+1/2)^2 = 144 // - 144

25*(x+1/2)^2-144 = 0

25*(x+1/2)^2-144 = 0

25*x^2+25*x-551/4 = 0

25*x^2+25*x-551/4 = 0

25*x^2+25*x-551/4 = 0

DELTA = 25^2-(-551/4*4*25)

DELTA = 14400

DELTA > 0

x = (14400^(1/2)-25)/(2*25) or x = (-14400^(1/2)-25)/(2*25)

x = 19/10 or x = -29/10

(x+29/10)*(x-19/10) = 0

(x+29/10)*(x-19/10) = 0

( x+29/10 )

x+29/10 = 0 // - 29/10

x = -29/10

( x-19/10 )

x-19/10 = 0 // + 19/10

x = 19/10

x in { -29/10, 19/10 }

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