What are the solutions to the equation 3/4 x^2+4/5 x=0 ?

The solutions to the equation 3/4 x^2+4/5 x=0 are x=0,x=-16/15

Find the zeros of 3/4 x^2+4/5 x=0

The zeros of 3/4 x^2+4/5 x=0 are x=0,x=-16/15

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\frac{3}{4} x^{2} + \frac{4}{5} x = 0

x = 0, x = - \frac{16}{15}

Decimal Notation

x = 0, x = - 1.06666 \dots

Solution steps

\frac{3}{4} x^{2} + \frac{4}{5} x = 0

Find Least Common Multiplier of

4, 5 : 20

Multiply by LCM=

20

\frac{3}{4} x^{2} \cdot 20 + \frac{4}{5} x \cdot 20 = 0 \cdot 20

Simplify

15 x^{2} + 16 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 15 \cdot 0}{2 \cdot 15}

1 6^{2} - 4 \cdot 15 \cdot 0 = 16

x_{1, 2} = \frac{- 16 \pm 16}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- 16 + 16}{2 \cdot 15}, x_{2} = \frac{- 16 - 16}{2 \cdot 15}

x = \frac{- 16 + 16}{2 \cdot 15} : 0

x = \frac{- 16 - 16}{2 \cdot 15} : - \frac{16}{15}

The solutions to the quadratic equation are:

x = 0, x = - \frac{16}{15}

4 b - 10 = 2 b + 8

4 - x^{2} = x + 2

(1 + i) (3 - 2 i)

10 > \frac{x - 2}{2} > 4

5 x (x - 2) + 7 = 0

What are the solutions to the equation 3/4 x^2+4/5 x=0 ?
The solutions to the equation 3/4 x^2+4/5 x=0 are x=0,x=-16/15
Find the zeros of 3/4 x^2+4/5 x=0
The zeros of 3/4 x^2+4/5 x=0 are x=0,x=-16/15