What are the solutions to the equation -4x^2=6x ?

The solutions to the equation -4x^2=6x are x=0,x=-3/2

Find the zeros of -4x^2=6x

The zeros of -4x^2=6x are x=0,x=-3/2

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- 4 x^{2} = 6 x

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

Decimal Notation

x = 0, x = - 1.5

Solution steps

- 4 x^{2} = 6 x

Move

6 x

to the left side

- 4 x^{2} - 6 x = 0

Factor

- 4 x^{2} - 6 x : - 2 x (2 x + 3)

- 2 x (2 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0

Solve

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

The solutions to the quadratic equation are:

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

x^{2} + 6 x - 20 = 0

- 3 x^{2} + 17 x - 20 = 0

x, x^{2} + y^{2} + 1 = 0

x^{2} - 8 x - 10 = 0

x (x + 2) + 5 = 3 (2 - x) + x - 4

What are the solutions to the equation -4x^2=6x ?
The solutions to the equation -4x^2=6x are x=0,x=-3/2
Find the zeros of -4x^2=6x
The zeros of -4x^2=6x are x=0,x=-3/2