What are the solutions to the equation (2x^2)/4 = x/(15) ?

The solutions to the equation (2x^2)/4 = x/(15) are x= 2/15 ,x=0

Find the zeros of (2x^2)/4 = x/(15)

The zeros of (2x^2)/4 = x/(15) are x= 2/15 ,x=0

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\frac{2 x ^{2}}{4} = \frac{x}{15}

x = \frac{2}{15}, x = 0

Decimal Notation

x = 0.13333 \dots, x = 0

Solution steps

\frac{2 x ^{2}}{4} = \frac{x}{15}

Find Least Common Multiplier of

4, 15 : 60

Multiply by LCM=

60

\frac{2 x ^{2}}{4} \cdot 60 = \frac{x}{15} \cdot 60

Simplify

30 x^{2} = 4 x

Move

4 x

to the left side

30 x^{2} - 4 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 30 \cdot 0}{2 \cdot 30}

(- 4)^{2} - 4 \cdot 30 \cdot 0 = 4

x_{1, 2} = \frac{- ( - 4 ) \pm 4}{2 \cdot 30}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 4}{2 \cdot 30}, x_{2} = \frac{- ( - 4 ) - 4}{2 \cdot 30}

x = \frac{- ( - 4 ) + 4}{2 \cdot 30} : \frac{2}{15}

x = \frac{- ( - 4 ) - 4}{2 \cdot 30} : 0

The solutions to the quadratic equation are:

x = \frac{2}{15}, x = 0

2 c^{2} = \frac{256}{3}

x^{2} - 2 x - 8 = 3

x^{2} - 2 x - 8 = 4

196 x^{2} - 1 = 0

x, x^{2} - 5 x - 4 = 0

What are the solutions to the equation (2x^2)/4 = x/(15) ?
The solutions to the equation (2x^2)/4 = x/(15) are x= 2/15 ,x=0
Find the zeros of (2x^2)/4 = x/(15)
The zeros of (2x^2)/4 = x/(15) are x= 2/15 ,x=0