What are the solutions to the equation 15n^2-12-8n=0 ?

The solutions to the equation 15n^2-12-8n=0 are n= 6/5 ,n=-2/3

Find the zeros of 15n^2-12-8n=0

The zeros of 15n^2-12-8n=0 are n= 6/5 ,n=-2/3

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15 n^{2} - 12 - 8 n = 0

n = \frac{6}{5}, n = - \frac{2}{3}

Decimal Notation

n = 1.2, n = - 0.66666 \dots

Solution steps

15 n^{2} - 12 - 8 n = 0

Write in the standard form

a x^{2} + b x + c = 0

15 n^{2} - 8 n - 12 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 15 ( - 12 )}{2 \cdot 15}

(- 8)^{2} - 4 \cdot 15 (- 12) = 28

n_{1, 2} = \frac{- ( - 8 ) \pm 28}{2 \cdot 15}

Separate the solutions

n_{1} = \frac{- ( - 8 ) + 28}{2 \cdot 15}, n_{2} = \frac{- ( - 8 ) - 28}{2 \cdot 15}

n = \frac{- ( - 8 ) + 28}{2 \cdot 15} : \frac{6}{5}

n = \frac{- ( - 8 ) - 28}{2 \cdot 15} : - \frac{2}{3}

The solutions to the quadratic equation are:

n = \frac{6}{5}, n = - \frac{2}{3}

x^{2} = - 3, x^{1} = 0

12 x^{2} - 384 x + 2304 = 0

0 = 2 x^{2} - 12 x - 30

1.1 t^{2} - 1.2 t + 0.3 = 0

x^{2} - 10 x - 96 = 0

What are the solutions to the equation 15n^2-12-8n=0 ?
The solutions to the equation 15n^2-12-8n=0 are n= 6/5 ,n=-2/3
Find the zeros of 15n^2-12-8n=0
The zeros of 15n^2-12-8n=0 are n= 6/5 ,n=-2/3