What are the solutions to the equation 5x^2=-30x ?

The solutions to the equation 5x^2=-30x are x=0,x=-6

Find the zeros of 5x^2=-30x

The zeros of 5x^2=-30x are x=0,x=-6

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5 x^{2} = - 30 x

x = 0, x = - 6

Solution steps

5 x^{2} = - 30 x

Move

30 x

to the left side

5 x^{2} + 30 x = 0

Factor

5 x^{2} + 30 x : 5 x (x + 6)

5 x (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 6 = 0

Solve

x + 6 = 0 : x = - 6

The solutions to the quadratic equation are:

x = 0, x = - 6

3^{2} + b^{2} = 6^{2}

1 0^{2} + x^{2} = 2 0^{2}

(x + 1)^{2} + (x - 8)^{2} = 45

x^{2} + 6 x + 5 = 0

x^{2} + 15 x + 54

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