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

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

Find the zeros of 5m^2+3m=2

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

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5 m^{2} + 3 m = 2

m = \frac{2}{5}, m = - 1

Decimal

m = 0.4, m = - 1

Solution steps

5 m^{2} + 3 m = 2

Move

2

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

m = \frac{2}{5}, m = - 1

- 3 y^{2} + 12 = 0

7 x^{2} + 8 x - 2 = 0

(20 + x) (35 + x) = 1270

2 x (5 x - 1) = 9

10 x^{2} - 16 x - 8 = 0

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