What are the solutions to the equation 30r^2=-25r ?

The solutions to the equation 30r^2=-25r are r=0,r=-5/6

Find the zeros of 30r^2=-25r

The zeros of 30r^2=-25r are r=0,r=-5/6

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30 r^{2} = - 25 r

r = 0, r = - \frac{5}{6}

Solution steps

30 r^{2} = - 25 r

Move

25 r

to the left side

30 r^{2} + 25 r = 0

Factor

30 r^{2} + 25 r : 5 r (6 r + 5)

5 r (6 r + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or 6 r + 5 = 0

Solve

6 r + 5 = 0 : r = - \frac{5}{6}

The solutions to the quadratic equation are:

r = 0, r = - \frac{5}{6}

x + 5 > 2

4.6 (4.6 - x) = 6

\frac{x}{4} - 3 = 1

- 3 = x^{2} - 4 x

\frac{a}{c} (3 b)

What are the solutions to the equation 30r^2=-25r ?
The solutions to the equation 30r^2=-25r are r=0,r=-5/6
Find the zeros of 30r^2=-25r
The zeros of 30r^2=-25r are r=0,r=-5/6