What are the solutions to the equation 3x^2=30x ?

The solutions to the equation 3x^2=30x are x=0,x=10

Find the zeros of 3x^2=30x

The zeros of 3x^2=30x are x=0,x=10

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3 x^{2} = 30 x

x = 0, x = 10

Solution steps

3 x^{2} = 30 x

Move

30 x

to the left side

3 x^{2} - 30 x = 0

Factor

3 x^{2} - 30 x : 3 x (x - 10)

3 x (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 10 = 0

Solve

x - 10 = 0 : x = 10

The solutions to the quadratic equation are:

x = 0, x = 10

2 x^{2} - x - 3 = 0

4 x^{2} - 16 x + 17 = 0

x^{2} + 45 = - 14 x

6 x^{2} - 108 x + 540 = 0

x^{2} + 6 x = - 6

What are the solutions to the equation 3x^2=30x ?
The solutions to the equation 3x^2=30x are x=0,x=10
Find the zeros of 3x^2=30x
The zeros of 3x^2=30x are x=0,x=10