What are the solutions to the equation 5w^2=-15w ?

The solutions to the equation 5w^2=-15w are w=0,w=-3

Find the zeros of 5w^2=-15w

The zeros of 5w^2=-15w are w=0,w=-3

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5 w^{2} = - 15 w

w = 0, w = - 3

Solution steps

5 w^{2} = - 15 w

Move

15 w

to the left side

5 w^{2} + 15 w = 0

Factor

5 w^{2} + 15 w : 5 w (w + 3)

5 w (w + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

w = 0 or w + 3 = 0

Solve

w + 3 = 0 : w = - 3

The solutions to the quadratic equation are:

w = 0, w = - 3

(1 - x)^{2} = 4

m^{2} + 7 m = 0

x, f = I n (x^{2} + 10)

x^{2} - 4 x = - 20

b, c^{2} = a^{2} + b^{2}

What are the solutions to the equation 5w^2=-15w ?
The solutions to the equation 5w^2=-15w are w=0,w=-3
Find the zeros of 5w^2=-15w
The zeros of 5w^2=-15w are w=0,w=-3