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

The solutions to the equation factor 3x^2-2=-x are x= 2/3 ,x=-1

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

The zeros of factor 3x^2-2=-x are x= 2/3 ,x=-1

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3 x^{2} - 2 = - x

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

Decimal Notation

x = 0.66666 \dots, x = - 1

Solution steps

3 x^{2} - 2 = - x

Move

x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 1 = 0 : x = - 1

The solutions to the quadratic equation are:

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

y, x y + 2 x + 3 x^{2} = 4

- 2 x^{2} - 4 x + 6

3 t^{2} - 16 t + 5 = 0

6 t = - 3 t^{2} + 75 t + 150

y, x^{2} - 12 x y + y^{2} = 70

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