What are the solutions to the equation 3/25 x^2-7/30 x+12/150 =0 ?

The solutions to the equation 3/25 x^2-7/30 x+12/150 =0 are x= 3/2 ,x= 4/9

Find the zeros of 3/25 x^2-7/30 x+12/150 =0

The zeros of 3/25 x^2-7/30 x+12/150 =0 are x= 3/2 ,x= 4/9

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\frac{3}{25} x^{2} - \frac{7}{30} x + \frac{12}{150} = 0

x = \frac{3}{2}, x = \frac{4}{9}

Decimal

x = 1.5, x = 0.44444 \dots

Solution steps

\frac{3}{25} x^{2} - \frac{7}{30} x + \frac{12}{150} = 0

Find Least Common Multiplier of

25, 30, 150 : 150

Multiply by LCM=

150

\frac{3}{25} x^{2} \cdot 150 - \frac{7}{30} x \cdot 150 + \frac{12}{150} \cdot 150 = 0 \cdot 150

Simplify

18 x^{2} - 35 x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 35 ) \pm ( - 35 ) ^{2} - 4 \cdot 18 \cdot 12}{2 \cdot 18}

(- 35)^{2} - 4 \cdot 18 \cdot 12 = 19

x_{1, 2} = \frac{- ( - 35 ) \pm 19}{2 \cdot 18}

Separate the solutions

x_{1} = \frac{- ( - 35 ) + 19}{2 \cdot 18}, x_{2} = \frac{- ( - 35 ) - 19}{2 \cdot 18}

x = \frac{- ( - 35 ) + 19}{2 \cdot 18} : \frac{3}{2}

x = \frac{- ( - 35 ) - 19}{2 \cdot 18} : \frac{4}{9}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = \frac{4}{9}

(x - 2)^{2} + 3 = 19

a^{2} + 7 a - 60 = 0

9 - 2 x (x + 4) - 10 (25 - x + 4) = 5 - 3 x - 4 (x + 1)

49 x^{2} - 49 = 0

9 x^{2} - 12 x + 4 = 0

What are the solutions to the equation 3/25 x^2-7/30 x+12/150 =0 ?
The solutions to the equation 3/25 x^2-7/30 x+12/150 =0 are x= 3/2 ,x= 4/9
Find the zeros of 3/25 x^2-7/30 x+12/150 =0
The zeros of 3/25 x^2-7/30 x+12/150 =0 are x= 3/2 ,x= 4/9