What are the solutions to the equation 30r^2=-15r ?

The solutions to the equation 30r^2=-15r are r=0,r=-1/2

Find the zeros of 30r^2=-15r

The zeros of 30r^2=-15r are r=0,r=-1/2

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30 r^{2} = - 15 r

r = 0, r = - \frac{1}{2}

Decimal Notation

r = 0, r = - 0.5

Solution steps

30 r^{2} = - 15 r

Move

15 r

to the left side

30 r^{2} + 15 r = 0

Factor

30 r^{2} + 15 r : 15 r (2 r + 1)

15 r (2 r + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or 2 r + 1 = 0

Solve

2 r + 1 = 0 : r = - \frac{1}{2}

The solutions to the quadratic equation are:

r = 0, r = - \frac{1}{2}

x (x - 5) = 14

- \frac{1}{2} - \frac{2}{5}

(32)^{- \frac{2}{5}}

\frac{4}{9} p^{2} - 25 = 0

- 5 \geq \frac{b}{- 8}

What are the solutions to the equation 30r^2=-15r ?
The solutions to the equation 30r^2=-15r are r=0,r=-1/2
Find the zeros of 30r^2=-15r
The zeros of 30r^2=-15r are r=0,r=-1/2