What are the solutions to the equation 1/3 x^2+5/6 x=0 ?

The solutions to the equation 1/3 x^2+5/6 x=0 are x=0,x=-5/2

Find the zeros of 1/3 x^2+5/6 x=0

The zeros of 1/3 x^2+5/6 x=0 are x=0,x=-5/2

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\frac{1}{3} x^{2} + \frac{5}{6} x = 0

x = 0, x = - \frac{5}{2}

Decimal Notation

x = 0, x = - 2.5

Solution steps

\frac{1}{3} x^{2} + \frac{5}{6} x = 0

Find Least Common Multiplier of

3, 6 : 6

Multiply by LCM=

6

\frac{1}{3} x^{2} \cdot 6 + \frac{5}{6} x \cdot 6 = 0 \cdot 6

Simplify

2 x^{2} + 5 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

5^{2} - 4 \cdot 2 \cdot 0 = 5

x_{1, 2} = \frac{- 5 \pm 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 5 + 5}{2 \cdot 2}, x_{2} = \frac{- 5 - 5}{2 \cdot 2}

x = \frac{- 5 + 5}{2 \cdot 2} : 0

x = \frac{- 5 - 5}{2 \cdot 2} : - \frac{5}{2}

The solutions to the quadratic equation are:

x = 0, x = - \frac{5}{2}

10 x^{2} - 2 = 0

5 x^{2} - 17 x + 19 = 2 x^{2}

3 x^{2} - 30 x = 0

x^{2} - 3 x + 1 = 0

x, x^{2} + y^{2} - 3 x y + x - y = 1

What are the solutions to the equation 1/3 x^2+5/6 x=0 ?
The solutions to the equation 1/3 x^2+5/6 x=0 are x=0,x=-5/2
Find the zeros of 1/3 x^2+5/6 x=0
The zeros of 1/3 x^2+5/6 x=0 are x=0,x=-5/2