What are the solutions to the equation 6x^2=21x ?

The solutions to the equation 6x^2=21x are x=0,x= 7/2

Find the zeros of 6x^2=21x

The zeros of 6x^2=21x are x=0,x= 7/2

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6 x^{2} = 21 x

x = 0, x = \frac{7}{2}

Decimal Notation

x = 0, x = 3.5

Solution steps

6 x^{2} = 21 x

Move

21 x

to the left side

6 x^{2} - 21 x = 0

Factor

6 x^{2} - 21 x : 3 x (2 x - 7)

3 x (2 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 7 = 0

Solve

2 x - 7 = 0 : x = \frac{7}{2}

The solutions to the quadratic equation are:

x = 0, x = \frac{7}{2}

9 y^{2} - 36 y

4 x^{2} - 196 = 0

6 + (5 x) (2 x) - 8 + 2 x = 2 x (x + 1)

y, x^{3} - 2 y^{2} - 9 = x

\frac{9}{16} - \frac{x ^{2}}{81} = 0

What are the solutions to the equation 6x^2=21x ?
The solutions to the equation 6x^2=21x are x=0,x= 7/2
Find the zeros of 6x^2=21x
The zeros of 6x^2=21x are x=0,x= 7/2