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

The solutions to the equation -3x^2=2x are x=0,x=-2/3

Find the zeros of -3x^2=2x

The zeros of -3x^2=2x are x=0,x=-2/3

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- 3 x^{2} = 2 x

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

Decimal Notation

x = 0, x = - 0.66666 \dots

Solution steps

- 3 x^{2} = 2 x

Move

2 x

to the left side

- 3 x^{2} - 2 x = 0

Factor

- 3 x^{2} - 2 x : - x (3 x + 2)

- x (3 x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 2 = 0

Solve

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

The solutions to the quadratic equation are:

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

5 x + 2 x^{2} = 0

31500 = - 0.14 x^{2} + 420 x

p^{2} - 6 p

3 n^{2} + 8 n + 4 = 0

0 = 4 x^{2} - 3 x + 1

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