(10x^6+20x^4-15x^2)/5x^2

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Solution for (10x^6+20x^4-15x^2)/5x^2 equation: 


x in (-oo:+oo)

x^2*((10*x^6+20*x^4-(15*x^2))/5) = 0

x^2*((10*x^6+20*x^4-15*x^2)/5) = 0

(x^2*(10*x^6+20*x^4-15*x^2))/5 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

(10*x^6+20*x^4-(15*x^2))/5 = 0

(10*x^6+20*x^4-15*x^2)/5 = 0

(10*x^6+20*x^4-(15*x^2))/5 = 0 // * 5

10*x^6+20*x^4-(15*x^2) = 0

10*x^6+20*x^4-15*x^2 = 0

t_1 = x^2

10*t_1^3+20*t_1^2-15*t_1^1 = 0

10*t_1^3+20*t_1^2-15*t_1 = 0

5*t_1*(2*t_1^2+4*t_1-3) = 0

2*t_1^2+4*t_1-3 = 0

DELTA = 4^2-(-3*2*4)

DELTA = 40

DELTA > 0

t_1 = (40^(1/2)-4)/(2*2) or t_1 = (-40^(1/2)-4)/(2*2)

t_1 = (2*10^(1/2)-4)/4 or t_1 = (-2*10^(1/2)-4)/4

5*t_1 = 0

5*t_1 = 0 // : 5

t_1 = 0

t_1 = (-2*10^(1/2)-4)/4

x^2-((-2*10^(1/2)-4)/4) = 0

1*x^2 = (-2*10^(1/2)-4)/4 // : 1

x^2 = (-2*10^(1/2)-4)/4

t_1 = (2*10^(1/2)-4)/4

x^2-((2*10^(1/2)-4)/4) = 0

1*x^2 = (2*10^(1/2)-4)/4 // : 1

x^2 = (2*10^(1/2)-4)/4

x^2 = (2*10^(1/2)-4)/4 // ^ 1/2

abs(x) = ((2*10^(1/2)-4)^(1/2))/2

x = ((2*10^(1/2)-4)^(1/2))/2 or x = -(((2*10^(1/2)-4)^(1/2))/2)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x^2*((10*x^6+20*x^4-(15*x^2))/5) = 0  <=>  x^2 = 0 or x^2*((10*x^6+20*x^4-(15*x^2))/5) = 0  <=>  (10*x^6+20*x^4-(15*x^2))/5 = 0

x in { 0, ((2*10^(1/2)-4)^(1/2))/2, -(((2*10^(1/2)-4)^(1/2))/2), 0 }

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