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

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

Find the zeros of 2x^2=9x

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

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2 x^{2} = 9 x

x = 0, x = \frac{9}{2}

Decimal Notation

x = 0, x = 4.5

Solution steps

2 x^{2} = 9 x

Move

9 x

to the left side

2 x^{2} - 9 x = 0

Factor

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

x (2 x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 9 = 0

Solve

2 x - 9 = 0 : x = \frac{9}{2}

The solutions to the quadratic equation are:

x = 0, x = \frac{9}{2}

\frac{( 2 x ) ^{- 2}}{( 3 x ) ^{- 2}}

\frac{4 - x}{x ^{5} - 5 x ^{3}} < 0

3 ∣ 8 + 2 x ∣ - 2 = 13

x^{2} + 2 x - 15 \geq 0

40 w x y - 16 w^{2} x + 10 w^{2} y^{2} - 4 w^{3} y

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