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

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

x, z = 2 x^{2} - 4 y^{2}

\times (- 16) y^{2} = 0

x^{2} + 50 x - 30000 = 0

9 (x^{2} - 13) + 9 = - 8

\frac{25}{36} = (x - 3)^{2}

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