What are the solutions to the equation 28n^2=-96-184n ?

The solutions to the equation 28n^2=-96-184n are n=-4/7 ,n=-6

Find the zeros of 28n^2=-96-184n

The zeros of 28n^2=-96-184n are n=-4/7 ,n=-6

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28 n^{2} = - 96 - 184 n

n = - \frac{4}{7}, n = - 6

Decimal Notation

n = - 0.57142 \dots, n = - 6

Solution steps

28 n^{2} = - 96 - 184 n

Move

184 n

to the left side

28 n^{2} + 184 n = - 96

Move

96

to the left side

28 n^{2} + 184 n + 96 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 184 \pm 18 4 ^{2} - 4 \cdot 28 \cdot 96}{2 \cdot 28}

18 4^{2} - 4 \cdot 28 \cdot 96 = 152

n_{1, 2} = \frac{- 184 \pm 152}{2 \cdot 28}

Separate the solutions

n_{1} = \frac{- 184 + 152}{2 \cdot 28}, n_{2} = \frac{- 184 - 152}{2 \cdot 28}

n = \frac{- 184 + 152}{2 \cdot 28} : - \frac{4}{7}

n = \frac{- 184 - 152}{2 \cdot 28} : - 6

The solutions to the quadratic equation are:

n = - \frac{4}{7}, n = - 6

1 + \frac{1}{2} + \frac{1}{3}

4 x (x + 3) \geq - 9

(10)^{3}

9 x = 3

(x)^{5}

What are the solutions to the equation 28n^2=-96-184n ?
The solutions to the equation 28n^2=-96-184n are n=-4/7 ,n=-6
Find the zeros of 28n^2=-96-184n
The zeros of 28n^2=-96-184n are n=-4/7 ,n=-6