What are the solutions to the equation 5x^3+18x^2=8x ?

The solutions to the equation 5x^3+18x^2=8x are x=0,x= 2/5 ,x=-4

Find the zeros of 5x^3+18x^2=8x

The zeros of 5x^3+18x^2=8x are x=0,x= 2/5 ,x=-4

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5 x^{3} + 18 x^{2} = 8 x

x = 0, x = \frac{2}{5}, x = - 4

Decimal Notation

x = 0, x = 0.4, x = - 4

Solution steps

5 x^{3} + 18 x^{2} = 8 x

Move

8 x

to the left side

5 x^{3} + 18 x^{2} - 8 x = 0

Factor

5 x^{3} + 18 x^{2} - 8 x : x (5 x - 2) (x + 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x - 2 = 0 or x + 4 = 0

Solve

5 x - 2 = 0 : x = \frac{2}{5}

Solve

x + 4 = 0 : x = - 4

The solutions are

x = 0, x = \frac{2}{5}, x = - 4

- (- 10 x + 1) - 4 x = 7 x^{7} x

4 x^{3} + 4 x^{2} - 25 x - 25 = 0

- x^{3} + 8 x^{2} - 19 x + 12 = 0

x^{8} + 1 = 0

(x - 15)^{6} + 2 (15 - x)^{2} = 0

What are the solutions to the equation 5x^3+18x^2=8x ?
The solutions to the equation 5x^3+18x^2=8x are x=0,x= 2/5 ,x=-4
Find the zeros of 5x^3+18x^2=8x
The zeros of 5x^3+18x^2=8x are x=0,x= 2/5 ,x=-4