15x^4-10x^2+25x/5x

Solution for 15x^4-10x^2+25x/5x equation:

x in (-oo:+oo)

15*x^4-(10*x^2)+((25*x)/5)*x = 0

15*x^4-10*x^2+((25*x)/5)*x = 0

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

t_1 = x^2

15*t_1^2-5*t_1^1 = 0

15*t_1^2-5*t_1 = 0

DELTA = (-5)^2-(0*4*15)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+5)/(2*15) or t_1 = (5-25^(1/2))/(2*15)

t_1 = 1/3 or t_1 = 0

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 1/3

x^2-1/3 = 0

1*x^2 = 1/3 // : 1

x^2 = 1/3

x^2 = 1/3 // ^ 1/2

abs(x) = (1/3)^(1/2)

x = (1/3)^(1/2) or x = -(1/3)^(1/2)

x in { 0, (1/3)^(1/2), -(1/3)^(1/2) }