What are the solutions to the equation 6m(m+4)=m-15 ?

The solutions to the equation 6m(m+4)=m-15 are m=-5/6 ,m=-3

Find the zeros of 6m(m+4)=m-15

The zeros of 6m(m+4)=m-15 are m=-5/6 ,m=-3

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6 m (m + 4) = m - 15

m = - \frac{5}{6}, m = - 3

Decimal Notation

m = - 0.83333 \dots, m = - 3

Solution steps

6 m (m + 4) = m - 15

Expand

6 m (m + 4) : 6 m^{2} + 24 m

6 m^{2} + 24 m = m - 15

Move

15

to the left side

6 m^{2} + 24 m + 15 = m

Move

m

to the left side

6 m^{2} + 23 m + 15 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 23 \pm 2 3 ^{2} - 4 \cdot 6 \cdot 15}{2 \cdot 6}

2 3^{2} - 4 \cdot 6 \cdot 15 = 13

m_{1, 2} = \frac{- 23 \pm 13}{2 \cdot 6}

Separate the solutions

m_{1} = \frac{- 23 + 13}{2 \cdot 6}, m_{2} = \frac{- 23 - 13}{2 \cdot 6}

m = \frac{- 23 + 13}{2 \cdot 6} : - \frac{5}{6}

m = \frac{- 23 - 13}{2 \cdot 6} : - 3

The solutions to the quadratic equation are:

m = - \frac{5}{6}, m = - 3

(2 x - 3)^{2} = 2 x - x^{2}

- 6 x^{2} - 24 x + 1 = 13

- 3 x^{2} - 12 x + 9 = 0

2 x^{2} = 3 - 8 x

4 x^{2} - 13 x = 56

What are the solutions to the equation 6m(m+4)=m-15 ?
The solutions to the equation 6m(m+4)=m-15 are m=-5/6 ,m=-3
Find the zeros of 6m(m+4)=m-15
The zeros of 6m(m+4)=m-15 are m=-5/6 ,m=-3