What are the solutions to the equation x=(x^2)/9-(2x)/3 ?

The solutions to the equation x=(x^2)/9-(2x)/3 are x=15,x=0

Find the zeros of x=(x^2)/9-(2x)/3

The zeros of x=(x^2)/9-(2x)/3 are x=15,x=0

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x = \frac{x ^{2}}{9} - \frac{2 x}{3}

x = 15, x = 0

Solution steps

x = \frac{x ^{2}}{9} - \frac{2 x}{3}

Find Least Common Multiplier of

9, 3 : 9

Multiply by LCM=

9

x \cdot 9 = \frac{x ^{2}}{9} \cdot 9 - \frac{2 x}{3} \cdot 9

Simplify

9 x = x^{2} - 6 x

Switch sides

x^{2} - 6 x = 9 x

Move

9 x

to the left side

x^{2} - 15 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 15)^{2} - 4 \cdot 1 \cdot 0 = 15

x_{1, 2} = \frac{- ( - 15 ) \pm 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 15}{2 \cdot 1}, x_{2} = \frac{- ( - 15 ) - 15}{2 \cdot 1}

x = \frac{- ( - 15 ) + 15}{2 \cdot 1} : 15

x = \frac{- ( - 15 ) - 15}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

x = 15, x = 0

(y - 5)^{2} - 11 (y - 5) + 24 = 0

2 x^{2} + 7 x + 15 = x

105 x^{2} + 80 = 200 x

(9 z + 5)^{2} = 0

5 a^{2} - 6 a + 10 = 0

What are the solutions to the equation x=(x^2)/9-(2x)/3 ?
The solutions to the equation x=(x^2)/9-(2x)/3 are x=15,x=0
Find the zeros of x=(x^2)/9-(2x)/3
The zeros of x=(x^2)/9-(2x)/3 are x=15,x=0