What are the solutions to the equation 3x^2-2=-5x ?

The solutions to the equation 3x^2-2=-5x are x= 1/3 ,x=-2

Find the zeros of 3x^2-2=-5x

The zeros of 3x^2-2=-5x are x= 1/3 ,x=-2

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3 x^{2} - 2 = - 5 x

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

Decimal Notation

x = 0.33333 \dots, x = - 2

Solution steps

3 x^{2} - 2 = - 5 x

Move

5 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

5^{2} - 4 \cdot 3 (- 2) = 7

x_{1, 2} = \frac{- 5 \pm 7}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 5 + 7}{2 \cdot 3}, x_{2} = \frac{- 5 - 7}{2 \cdot 3}

x = \frac{- 5 + 7}{2 \cdot 3} : \frac{1}{3}

x = \frac{- 5 - 7}{2 \cdot 3} : - 2

The solutions to the quadratic equation are:

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

2 m^{2} - 3 m - 9

4 x^{2} - 17 x + 18

\frac{2}{3} + \frac{3}{5}

4 x^{2} = 144

x^{2} + 12 x = 0

What are the solutions to the equation 3x^2-2=-5x ?
The solutions to the equation 3x^2-2=-5x are x= 1/3 ,x=-2
Find the zeros of 3x^2-2=-5x
The zeros of 3x^2-2=-5x are x= 1/3 ,x=-2