What are the solutions to the equation 5x^2=100x ?

The solutions to the equation 5x^2=100x are x=0,x=20

Find the zeros of 5x^2=100x

The zeros of 5x^2=100x are x=0,x=20

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5 x^{2} = 100 x

x = 0, x = 20

Solution steps

5 x^{2} = 100 x

Move

100 x

to the left side

5 x^{2} - 100 x = 0

Factor

5 x^{2} - 100 x : 5 x (x - 20)

5 x (x - 20) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 20 = 0

Solve

x - 20 = 0 : x = 20

The solutions to the quadratic equation are:

x = 0, x = 20

3 x^{2} + 7 = - 8 x + 3

2 (2 x - 5) = - 4 x (x - 1)

3 x^{2} + 5 x + 3

3 x - 6 = - x^{2}

0.1 n^{2} + 100 n + 8 = 60000

What are the solutions to the equation 5x^2=100x ?
The solutions to the equation 5x^2=100x are x=0,x=20
Find the zeros of 5x^2=100x
The zeros of 5x^2=100x are x=0,x=20