What are the solutions to the equation 20v^2+3v=5v^2+5v+1 ?

The solutions to the equation 20v^2+3v=5v^2+5v+1 are v=-1/5 ,v= 1/3

Find the zeros of 20v^2+3v=5v^2+5v+1

The zeros of 20v^2+3v=5v^2+5v+1 are v=-1/5 ,v= 1/3

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20 v^{2} + 3 v = 5 v^{2} + 5 v + 1

v = - \frac{1}{5}, v = \frac{1}{3}

Decimal Notation

v = - 0.2, v = 0.33333 \dots

Solution steps

20 v^{2} + 3 v = 5 v^{2} + 5 v + 1

Switch sides

5 v^{2} + 5 v + 1 = 20 v^{2} + 3 v

Move

3 v

to the left side

5 v^{2} + 2 v + 1 = 20 v^{2}

Move

20 v^{2}

to the left side

- 15 v^{2} + 2 v + 1 = 0

Solve with the quadratic formula

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

2^{2} - 4 (- 15) \cdot 1 = 8

v_{1, 2} = \frac{- 2 \pm 8}{2 ( - 15 )}

Separate the solutions

v_{1} = \frac{- 2 + 8}{2 ( - 15 )}, v_{2} = \frac{- 2 - 8}{2 ( - 15 )}

v = \frac{- 2 + 8}{2 ( - 15 )} : - \frac{1}{5}

v = \frac{- 2 - 8}{2 ( - 15 )} : \frac{1}{3}

The solutions to the quadratic equation are:

v = - \frac{1}{5}, v = \frac{1}{3}

3 y^{2} = 75

2 t^{2} + 4 t + 1 = 0

12 - 8 x^{2} = 9

x^{2} + 14 x - 37 = 0

- 2 x^{2} + 4 x + 194 = 0

What are the solutions to the equation 20v^2+3v=5v^2+5v+1 ?
The solutions to the equation 20v^2+3v=5v^2+5v+1 are v=-1/5 ,v= 1/3
Find the zeros of 20v^2+3v=5v^2+5v+1
The zeros of 20v^2+3v=5v^2+5v+1 are v=-1/5 ,v= 1/3