What are the solutions to the equation 6x^2=9x ?

The solutions to the equation 6x^2=9x are x=0,x= 3/2

Find the zeros of 6x^2=9x

The zeros of 6x^2=9x are x=0,x= 3/2

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6 x^{2} = 9 x

x = 0, x = \frac{3}{2}

Decimal Notation

x = 0, x = 1.5

Solution steps

6 x^{2} = 9 x

Move

9 x

to the left side

6 x^{2} - 9 x = 0

Factor

6 x^{2} - 9 x : 3 x (2 x - 3)

3 x (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 3 = 0

Solve

2 x - 3 = 0 : x = \frac{3}{2}

The solutions to the quadratic equation are:

x = 0, x = \frac{3}{2}

s^{2} - 2 s + 4 = 0

1 = 3 x^{2}

4 x^{2} - 19 x + 12 = 0

3 x^{2} - 15 x + 186 = 0

2 X^{2} = 0

What are the solutions to the equation 6x^2=9x ?
The solutions to the equation 6x^2=9x are x=0,x= 3/2
Find the zeros of 6x^2=9x
The zeros of 6x^2=9x are x=0,x= 3/2