What are the solutions to the equation 3/8 x^2+3x+9/2 =0 ?

The solutions to the equation 3/8 x^2+3x+9/2 =0 are x=-2,x=-6

Find the zeros of 3/8 x^2+3x+9/2 =0

The zeros of 3/8 x^2+3x+9/2 =0 are x=-2,x=-6

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\frac{3}{8} x^{2} + 3 x + \frac{9}{2} = 0

x = - 2, x = - 6

Solution steps

\frac{3}{8} x^{2} + 3 x + \frac{9}{2} = 0

Find Least Common Multiplier of

8, 2 : 8

Multiply by LCM=

8

\frac{3}{8} x^{2} \cdot 8 + 3 x \cdot 8 + \frac{9}{2} \cdot 8 = 0 \cdot 8

Simplify

3 x^{2} + 24 x + 36 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 3 \cdot 36}{2 \cdot 3}

2 4^{2} - 4 \cdot 3 \cdot 36 = 12

x_{1, 2} = \frac{- 24 \pm 12}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 24 + 12}{2 \cdot 3}, x_{2} = \frac{- 24 - 12}{2 \cdot 3}

x = \frac{- 24 + 12}{2 \cdot 3} : - 2

x = \frac{- 24 - 12}{2 \cdot 3} : - 6

The solutions to the quadratic equation are:

x = - 2, x = - 6

3 x^{2} - 40 = 7 x

y^{2} - 5 y = - 6

t, h = \frac{1}{2} g t^{2} + v t

(2 x + 10) x = 100

7 (x - 4)^{2} - 2 = 54

What are the solutions to the equation 3/8 x^2+3x+9/2 =0 ?
The solutions to the equation 3/8 x^2+3x+9/2 =0 are x=-2,x=-6
Find the zeros of 3/8 x^2+3x+9/2 =0
The zeros of 3/8 x^2+3x+9/2 =0 are x=-2,x=-6