5x^2/4-5=15x/4

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Solution for 5x^2/4-5=15x/4 equation: 


x in (-oo:+oo)

(5*x^2)/4-5 = (15*x)/4 // - (15*x)/4

(5*x^2)/4-((15*x)/4)-5 = 0

(5*x^2)/4+(-15/4)*x-5 = 0

5/4*x^2-15/4*x-5 = 0

DELTA = (-15/4)^2-(-5*5/4*4)

DELTA = 625/16

DELTA > 0

x = ((625/16)^(1/2)+15/4)/(5/4*2) or x = (15/4-(625/16)^(1/2))/(5/4*2)

x = 4 or x = -1

x in { -1, 4 }

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