-14x^2+8x^3/4x^3

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Solution for -14x^2+8x^3/4x^3 equation:


x in (-oo:+oo)

((8*x^3)/4)*x^3-14*x^2 = 0

2*x^6-14*x^2 = 0

t_1 = x^2

2*t_1^3-14*t_1^1 = 0

2*t_1^3-14*t_1 = 0

2*t_1*(t_1^2-7) = 0

1*t_1^2 = 7 // : 1

t_1^2 = 7

t_1^2 = 7 // ^ 1/2

abs(t_1) = 7^(1/2)

t_1 = 7^(1/2) or t_1 = -7^(1/2)

2*t_1 = 0

2*t_1 = 0 // : 2

t_1 = 0

t_1 = 7^(1/2)

x^2-7^(1/2) = 0

1*x^2 = 7^(1/2) // : 1

x^2 = 7^(1/2)

x^2 = 7^(1/2) // ^ 1/2

abs(x) = 7^(1/4)

x = 7^(1/4) or x = -7^(1/4)

t_1 = -7^(1/2)

x^2+7^(1/2) = 0

1*x^2 = -7^(1/2) // : 1

x^2 = -7^(1/2)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 7^(1/4), -7^(1/4), 0 }

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