What are the solutions to the equation 10n^2+15n-25=6n^2 ?

The solutions to the equation 10n^2+15n-25=6n^2 are n= 5/4 ,n=-5

Find the zeros of 10n^2+15n-25=6n^2

The zeros of 10n^2+15n-25=6n^2 are n= 5/4 ,n=-5

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10 n^{2} + 15 n - 25 = 6 n^{2}

n = \frac{5}{4}, n = - 5

Decimal Notation

n = 1.25, n = - 5

Solution steps

10 n^{2} + 15 n - 25 = 6 n^{2}

Move

6 n^{2}

to the left side

4 n^{2} + 15 n - 25 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 4 ( - 25 )}{2 \cdot 4}

1 5^{2} - 4 \cdot 4 (- 25) = 25

n_{1, 2} = \frac{- 15 \pm 25}{2 \cdot 4}

Separate the solutions

n_{1} = \frac{- 15 + 25}{2 \cdot 4}, n_{2} = \frac{- 15 - 25}{2 \cdot 4}

n = \frac{- 15 + 25}{2 \cdot 4} : \frac{5}{4}

n = \frac{- 15 - 25}{2 \cdot 4} : - 5

The solutions to the quadratic equation are:

n = \frac{5}{4}, n = - 5

6 x^{2} - 5 x - 5 = 0

12 x^{2} + 16 x = 0

3 x^{2} + x + 4 = - 9 x + 1

x, 61 x^{2} - 20 x - 32 = 0

12 x^{2} - 17 x - 6 = 7 x^{2} + 6

What are the solutions to the equation 10n^2+15n-25=6n^2 ?
The solutions to the equation 10n^2+15n-25=6n^2 are n= 5/4 ,n=-5
Find the zeros of 10n^2+15n-25=6n^2
The zeros of 10n^2+15n-25=6n^2 are n= 5/4 ,n=-5