What are the solutions to the equation 5x^2=210x ?

The solutions to the equation 5x^2=210x are x=0,x=42

Find the zeros of 5x^2=210x

The zeros of 5x^2=210x are x=0,x=42

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5 x^{2} = 210 x

x = 0, x = 42

Solution steps

5 x^{2} = 210 x

Move

210 x

to the left side

5 x^{2} - 210 x = 0

Factor

5 x^{2} - 210 x : 5 x (x - 42)

5 x (x - 42) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 42 = 0

Solve

x - 42 = 0 : x = 42

The solutions to the quadratic equation are:

x = 0, x = 42

x^{2} - 10 x + 12 = 0

\frac{x ^{2} - 3 x}{2} - 5 = \frac{x - 20}{4}

2 x^{2} + 7 x - 9 = - 5

x^{2} + 0.54 x - 0.27 = 0

- x^{2} + 14 x + 74 = 0

What are the solutions to the equation 5x^2=210x ?
The solutions to the equation 5x^2=210x are x=0,x=42
Find the zeros of 5x^2=210x
The zeros of 5x^2=210x are x=0,x=42