What are the solutions to the equation -4x=10x^2-24x^3 ?

The solutions to the equation -4x=10x^2-24x^3 are x=0,x=-1/4 ,x= 2/3

Find the zeros of -4x=10x^2-24x^3

The zeros of -4x=10x^2-24x^3 are x=0,x=-1/4 ,x= 2/3

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- 4 x = 10 x^{2} - 24 x^{3}

x = 0, x = - \frac{1}{4}, x = \frac{2}{3}

Decimal Notation

x = 0, x = - 0.25, x = 0.66666 \dots

Solution steps

- 4 x = 10 x^{2} - 24 x^{3}

Switch sides

10 x^{2} - 24 x^{3} = - 4 x

Move

4 x

to the left side

10 x^{2} - 24 x^{3} + 4 x = 0

Factor

10 x^{2} - 24 x^{3} + 4 x : - 2 x (4 x + 1) (3 x - 2)

- 2 x (4 x + 1) (3 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x + 1 = 0 or 3 x - 2 = 0

Solve

4 x + 1 = 0 : x = - \frac{1}{4}

Solve

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

The solutions are

x = 0, x = - \frac{1}{4}, x = \frac{2}{3}

x^{3} - 15 x - 4 = 0

- 2 x (100 x^{2} - 9) (x^{2} + 81) = 0

7 x^{4} - 63 x^{2} = 0

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

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

What are the solutions to the equation -4x=10x^2-24x^3 ?
The solutions to the equation -4x=10x^2-24x^3 are x=0,x=-1/4 ,x= 2/3
Find the zeros of -4x=10x^2-24x^3
The zeros of -4x=10x^2-24x^3 are x=0,x=-1/4 ,x= 2/3