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

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

Find the zeros of solvefor x,3x^2+5x=2

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

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

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

Decimal Notation

x = 0.33333 \dots, x = - 2

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 ( - 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

- 24/6

\frac{3}{14} + \frac{4}{14}

(3 x + 2) (4 x - 1)

x, 4^{x} = 40

x, 5^{x} = 20

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