What are the solutions to the equation 25q^2+15q+1=5q ?

The solutions to the equation 25q^2+15q+1=5q are q=-1/5

Find the zeros of 25q^2+15q+1=5q

The zeros of 25q^2+15q+1=5q are q=-1/5

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25 q^{2} + 15 q + 1 = 5 q

q = - \frac{1}{5}

Decimal Notation

q = - 0.2

Solution steps

25 q^{2} + 15 q + 1 = 5 q

Move

5 q

to the left side

25 q^{2} + 10 q + 1 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 25 \cdot 1}{2 \cdot 25}

1 0^{2} - 4 \cdot 25 \cdot 1 = 0

q_{1, 2} = \frac{- 10 \pm 0}{2 \cdot 25}

q = \frac{- 10}{2 \cdot 25}

\frac{- 10}{2 \cdot 25} = - \frac{1}{5}

q = - \frac{1}{5}

The solution to the quadratic equation is:

q = - \frac{1}{5}

3 x^{2} + 7 x - 9 = 0

3 x^{2} - 12 = - x

(x - 2)^{2} + 9 = 25

3 x^{2} + 7 x - 2 = 0

x^{2} - 2 x - 15

What are the solutions to the equation 25q^2+15q+1=5q ?
The solutions to the equation 25q^2+15q+1=5q are q=-1/5
Find the zeros of 25q^2+15q+1=5q
The zeros of 25q^2+15q+1=5q are q=-1/5