(4x^3+8x^2-10x)/2x

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Solution for (4x^3+8x^2-10x)/2x equation: 


x in (-oo:+oo)

x*((4*x^3+8*x^2-(10*x))/2) = 0

x*((4*x^3+8*x^2-10*x)/2) = 0

(x*(4*x^3+8*x^2-10*x))/2 = 0

4*x^3+8*x^2-10*x = 0

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

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

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

DELTA = 56

DELTA > 0

x = (56^(1/2)-4)/(2*2) or x = (-56^(1/2)-4)/(2*2)

x = (2*14^(1/2)-4)/4 or x = (-2*14^(1/2)-4)/4

2*x*(x-((-2*14^(1/2)-4)/4))*(x-((2*14^(1/2)-4)/4)) = 0

(2*x*x*(x-((-2*14^(1/2)-4)/4))*(x-((2*14^(1/2)-4)/4)))/2 = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-((-2*14^(1/2)-4)/4) )

x-((-2*14^(1/2)-4)/4) = 0 // + (-2*14^(1/2)-4)/4

x = (-2*14^(1/2)-4)/4

( x-((2*14^(1/2)-4)/4) )

x-((2*14^(1/2)-4)/4) = 0 // + (2*14^(1/2)-4)/4

x = (2*14^(1/2)-4)/4

( x )

x = 0

x in { 0, (-2*14^(1/2)-4)/4, (2*14^(1/2)-4)/4, 0 }

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