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

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

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

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

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

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

Decimal Notation

x = - 0.66666 \dots, x = - 1

Solution steps

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

Move

2

to the left side

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

Solve with the quadratic formula

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

5^{2} - 4 \cdot 3 \cdot 2 = 1

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x, 3 x^{2} + 6 x y = 0

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

x^{2} - 22 = - 112

x, x^{2} + 4 x + 2 y^{2} - 12 y = 14

13 = 5 x^{2}

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