(2x^2/5)-6=4x/5

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Solution for (2x^2/5)-6=4x/5 equation:


x in (-oo:+oo)

(2*x^2)/5-6 = (4*x)/5 // - (4*x)/5

(2*x^2)/5-((4*x)/5)-6 = 0

(2*x^2)/5+(-4/5)*x-6 = 0

2/5*x^2-4/5*x-6 = 0

DELTA = (-4/5)^2-(-6*2/5*4)

DELTA = 256/25

DELTA > 0

x = ((256/25)^(1/2)+4/5)/(2/5*2) or x = (4/5-(256/25)^(1/2))/(2/5*2)

x = 5 or x = -3

x in { -3, 5 }

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