2x^4/7-25x^2/14

Solution for 2x^4/7-25x^2/14 equation:

x in (-oo:+oo)

(2*x^4)/7-((25*x^2)/14) = 0

(2*x^4)/7+(-25/14)*x^2 = 0

2/7*x^4-25/14*x^2 = 0

t_1 = x^2

2/7*t_1^2-25/14*t_1^1 = 0

2/7*t_1^2-25/14*t_1 = 0

DELTA = (-25/14)^2-(0*2/7*4)

DELTA = 625/196

DELTA > 0

t_1 = ((625/196)^(1/2)+25/14)/(2/7*2) or t_1 = (25/14-(625/196)^(1/2))/(2/7*2)

t_1 = 25/4 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 = 25/4

x^2-25/4 = 0

1*x^2 = 25/4 // : 1

x^2 = 25/4

x^2 = 25/4 // ^ 1/2

abs(x) = 5/2

x = 5/2 or x = -5/2

x in { 0, 5/2, -5/2 }