What are the solutions to the equation 3m^2-16m-2=-7 ?

The solutions to the equation 3m^2-16m-2=-7 are m=5,m= 1/3

Find the zeros of 3m^2-16m-2=-7

The zeros of 3m^2-16m-2=-7 are m=5,m= 1/3

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3 m^{2} - 16 m - 2 = - 7

m = 5, m = \frac{1}{3}

Decimal Notation

m = 5, m = 0.33333 \dots

Solution steps

3 m^{2} - 16 m - 2 = - 7

Move

7

to the left side

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

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

(- 16)^{2} - 4 \cdot 3 \cdot 5 = 14

m_{1, 2} = \frac{- ( - 16 ) \pm 14}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- ( - 16 ) + 14}{2 \cdot 3}, m_{2} = \frac{- ( - 16 ) - 14}{2 \cdot 3}

m = \frac{- ( - 16 ) + 14}{2 \cdot 3} : 5

m = \frac{- ( - 16 ) - 14}{2 \cdot 3} : \frac{1}{3}

The solutions to the quadratic equation are:

m = 5, m = \frac{1}{3}

3 x^{2} - x^{2} = 1800

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

x, 3 x^{2} + m x + 3 = 0

x^{2} = 8 x - 12

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

What are the solutions to the equation 3m^2-16m-2=-7 ?
The solutions to the equation 3m^2-16m-2=-7 are m=5,m= 1/3
Find the zeros of 3m^2-16m-2=-7
The zeros of 3m^2-16m-2=-7 are m=5,m= 1/3