What are the solutions to the equation 3x^2=75x ?

The solutions to the equation 3x^2=75x are x=0,x=25

Find the zeros of 3x^2=75x

The zeros of 3x^2=75x are x=0,x=25

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3 x^{2} = 75 x

x = 0, x = 25

Solution steps

3 x^{2} = 75 x

Move

75 x

to the left side

3 x^{2} - 75 x = 0

Factor

3 x^{2} - 75 x : 3 x (x - 25)

3 x (x - 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 25 = 0

Solve

x - 25 = 0 : x = 25

The solutions to the quadratic equation are:

x = 0, x = 25

3 x^{2} - 25 x + 28 = 0

- x^{2} - 18 x - 38 = - 6

2 x^{2} + 14 x - 24 = 0

x, x (x - 2 y) = - y^{2}

n^{2} = - 89 + 18 n

What are the solutions to the equation 3x^2=75x ?
The solutions to the equation 3x^2=75x are x=0,x=25
Find the zeros of 3x^2=75x
The zeros of 3x^2=75x are x=0,x=25