What are the solutions to the equation 7m^2-24m=-9 ?

The solutions to the equation 7m^2-24m=-9 are m=3,m= 3/7

Find the zeros of 7m^2-24m=-9

The zeros of 7m^2-24m=-9 are m=3,m= 3/7

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7 m^{2} - 24 m = - 9

m = 3, m = \frac{3}{7}

Decimal Notation

m = 3, m = 0.42857 \dots

Solution steps

7 m^{2} - 24 m = - 9

Move

9

to the left side

7 m^{2} - 24 m + 9 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 7 \cdot 9}{2 \cdot 7}

(- 24)^{2} - 4 \cdot 7 \cdot 9 = 18

m_{1, 2} = \frac{- ( - 24 ) \pm 18}{2 \cdot 7}

Separate the solutions

m_{1} = \frac{- ( - 24 ) + 18}{2 \cdot 7}, m_{2} = \frac{- ( - 24 ) - 18}{2 \cdot 7}

m = \frac{- ( - 24 ) + 18}{2 \cdot 7} : 3

m = \frac{- ( - 24 ) - 18}{2 \cdot 7} : \frac{3}{7}

The solutions to the quadratic equation are:

m = 3, m = \frac{3}{7}

t^{2} + 3 t - 19 = - 5

3 z^{2} - 7 z + 3 = 6

(- 4 - x) (1 - x) + 6 = 0

9 v^{2} = - 30 v - 25

5 m^{2} + 7 = 52

What are the solutions to the equation 7m^2-24m=-9 ?
The solutions to the equation 7m^2-24m=-9 are m=3,m= 3/7
Find the zeros of 7m^2-24m=-9
The zeros of 7m^2-24m=-9 are m=3,m= 3/7