What are the solutions to the equation 2x^3+3x^2+50x+75=0 ?

The solutions to the equation 2x^3+3x^2+50x+75=0 are x=-3/2 ,x=5i,x=-5i

Find the zeros of 2x^3+3x^2+50x+75=0

The zeros of 2x^3+3x^2+50x+75=0 are x=-3/2 ,x=5i,x=-5i

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2 x^{3} + 3 x^{2} + 50 x + 75 = 0

x = - \frac{3}{2}, x = 5 i, x = - 5 i

Solution steps

2 x^{3} + 3 x^{2} + 50 x + 75 = 0

Factor

2 x^{3} + 3 x^{2} + 50 x + 75 : (2 x + 3) (x^{2} + 25)

(2 x + 3) (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 3 = 0 or x^{2} + 25 = 0

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

The solutions are

x = - \frac{3}{2}, x = 5 i, x = - 5 i

x^{4} - x^{2} - 18 = 0

1.44 = 0.34 t^{3}

x^{6} = 2 \cdot x^{3}

\frac{0.75 + 2.3}{2} x^{5} = 9.5

x^{3} + 7 x^{2} + 11 x + 6 = 0

What are the solutions to the equation 2x^3+3x^2+50x+75=0 ?
The solutions to the equation 2x^3+3x^2+50x+75=0 are x=-3/2 ,x=5i,x=-5i
Find the zeros of 2x^3+3x^2+50x+75=0
The zeros of 2x^3+3x^2+50x+75=0 are x=-3/2 ,x=5i,x=-5i