What are the solutions to the equation 4b^2+17b+15=b ?

The solutions to the equation 4b^2+17b+15=b are b=-3/2 ,b=-5/2

Find the zeros of 4b^2+17b+15=b

The zeros of 4b^2+17b+15=b are b=-3/2 ,b=-5/2

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4 b^{2} + 17 b + 15 = b

b = - \frac{3}{2}, b = - \frac{5}{2}

Decimal

b = - 1.5, b = - 2.5

Solution steps

4 b^{2} + 17 b + 15 = b

Move

b

to the left side

4 b^{2} + 16 b + 15 = 0

Solve with the quadratic formula

b_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 \cdot 15}{2 \cdot 4}

1 6^{2} - 4 \cdot 4 \cdot 15 = 4

b_{1, 2} = \frac{- 16 \pm 4}{2 \cdot 4}

Separate the solutions

b_{1} = \frac{- 16 + 4}{2 \cdot 4}, b_{2} = \frac{- 16 - 4}{2 \cdot 4}

b = \frac{- 16 + 4}{2 \cdot 4} : - \frac{3}{2}

b = \frac{- 16 - 4}{2 \cdot 4} : - \frac{5}{2}

The solutions to the quadratic equation are:

b = - \frac{3}{2}, b = - \frac{5}{2}

5 x^{2} + 50 x + 125 = 0

x^{2} + 9 x + 20 = - 3 x

3 a^{2} - 4 a - 5 = 0

5 x^{2} - 1 = - 4

x^{2} - 14 x + 65

What are the solutions to the equation 4b^2+17b+15=b ?
The solutions to the equation 4b^2+17b+15=b are b=-3/2 ,b=-5/2
Find the zeros of 4b^2+17b+15=b
The zeros of 4b^2+17b+15=b are b=-3/2 ,b=-5/2