What are the solutions to the equation 1/4 x^2+2/3 x=0 ?

The solutions to the equation 1/4 x^2+2/3 x=0 are x=0,x=-8/3

Find the zeros of 1/4 x^2+2/3 x=0

The zeros of 1/4 x^2+2/3 x=0 are x=0,x=-8/3

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\frac{1}{4} x^{2} + \frac{2}{3} x = 0

x = 0, x = - \frac{8}{3}

Solution steps

\frac{1}{4} x^{2} + \frac{2}{3} x = 0

Find Least Common Multiplier of

4, 3 : 12

Multiply by LCM=

12

\frac{1}{4} x^{2} \cdot 12 + \frac{2}{3} x \cdot 12 = 0 \cdot 12

Simplify

3 x^{2} + 8 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

8^{2} - 4 \cdot 3 \cdot 0 = 8

x_{1, 2} = \frac{- 8 \pm 8}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 8 + 8}{2 \cdot 3}, x_{2} = \frac{- 8 - 8}{2 \cdot 3}

x = \frac{- 8 + 8}{2 \cdot 3} : 0

x = \frac{- 8 - 8}{2 \cdot 3} : - \frac{8}{3}

The solutions to the quadratic equation are:

x = 0, x = - \frac{8}{3}

2 x^{2} - 7 x - 10 = 0

3 x^{2} + 11 x + 7 = 0

5 x^{2} - 90 x = - 370

(x + 1)^{2} = - 9

(x + 1)^{2} = - 4

What are the solutions to the equation 1/4 x^2+2/3 x=0 ?
The solutions to the equation 1/4 x^2+2/3 x=0 are x=0,x=-8/3
Find the zeros of 1/4 x^2+2/3 x=0
The zeros of 1/4 x^2+2/3 x=0 are x=0,x=-8/3