What are the solutions to the equation 3b^2+2b+3=12b^2+4b+3 ?

The solutions to the equation 3b^2+2b+3=12b^2+4b+3 are b=-2/9 ,b=0

Find the zeros of 3b^2+2b+3=12b^2+4b+3

The zeros of 3b^2+2b+3=12b^2+4b+3 are b=-2/9 ,b=0

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3 b^{2} + 2 b + 3 = 12 b^{2} + 4 b + 3

b = - \frac{2}{9}, b = 0

Decimal Notation

b = - 0.22222 \dots, b = 0

Solution steps

3 b^{2} + 2 b + 3 = 12 b^{2} + 4 b + 3

Move

3

to the left side

3 b^{2} + 2 b = 12 b^{2} + 4 b

Move

4 b

to the left side

3 b^{2} - 2 b = 12 b^{2}

Move

12 b^{2}

to the left side

- 9 b^{2} - 2 b = 0

Solve with the quadratic formula

b_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 ( - 9 ) \cdot 0}{2 ( - 9 )}

(- 2)^{2} - 4 (- 9) \cdot 0 = 2

b_{1, 2} = \frac{- ( - 2 ) \pm 2}{2 ( - 9 )}

Separate the solutions

b_{1} = \frac{- ( - 2 ) + 2}{2 ( - 9 )}, b_{2} = \frac{- ( - 2 ) - 2}{2 ( - 9 )}

b = \frac{- ( - 2 ) + 2}{2 ( - 9 )} : - \frac{2}{9}

b = \frac{- ( - 2 ) - 2}{2 ( - 9 )} : 0

The solutions to the quadratic equation are:

b = - \frac{2}{9}, b = 0

x - 1 = - x^{2} + x + 1

0 = 3 x^{2} + 5 x + 2

0 = - 3 x^{2} + 30 x - 72

2 x^{2} + 8 x = - 9

a x^{2} + 3 x - 6 = 0

What are the solutions to the equation 3b^2+2b+3=12b^2+4b+3 ?
The solutions to the equation 3b^2+2b+3=12b^2+4b+3 are b=-2/9 ,b=0
Find the zeros of 3b^2+2b+3=12b^2+4b+3
The zeros of 3b^2+2b+3=12b^2+4b+3 are b=-2/9 ,b=0