What are the solutions to the equation -7/4 x^2+3/2 x=0 ?

The solutions to the equation -7/4 x^2+3/2 x=0 are x=0,x= 6/7

Find the zeros of -7/4 x^2+3/2 x=0

The zeros of -7/4 x^2+3/2 x=0 are x=0,x= 6/7

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- \frac{7}{4} x^{2} + \frac{3}{2} x = 0

x = 0, x = \frac{6}{7}

Solution steps

- \frac{7}{4} x^{2} + \frac{3}{2} x = 0

Find Least Common Multiplier of

4, 2 : 4

Multiply by LCM=

4

- \frac{7}{4} x^{2} \cdot 4 + \frac{3}{2} x \cdot 4 = 0 \cdot 4

Simplify

- 7 x^{2} + 6 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 7 ) \cdot 0}{2 ( - 7 )}

6^{2} - 4 (- 7) \cdot 0 = 6

x_{1, 2} = \frac{- 6 \pm 6}{2 ( - 7 )}

Separate the solutions

x_{1} = \frac{- 6 + 6}{2 ( - 7 )}, x_{2} = \frac{- 6 - 6}{2 ( - 7 )}

x = \frac{- 6 + 6}{2 ( - 7 )} : 0

x = \frac{- 6 - 6}{2 ( - 7 )} : \frac{6}{7}

The solutions to the quadratic equation are:

x = 0, x = \frac{6}{7}

(x - 5)^{2} = 2 x + 14

x^{2} + 1.2 x + 0.56 = 0.91

6 y^{2} - 19 y + 8 = 0

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

12 x^{2} + 18 x + 6 = 0

What are the solutions to the equation -7/4 x^2+3/2 x=0 ?
The solutions to the equation -7/4 x^2+3/2 x=0 are x=0,x= 6/7
Find the zeros of -7/4 x^2+3/2 x=0
The zeros of -7/4 x^2+3/2 x=0 are x=0,x= 6/7