What are the solutions to the equation 4x^2=9x ?

The solutions to the equation 4x^2=9x are x=0,x= 9/4

Find the zeros of 4x^2=9x

The zeros of 4x^2=9x are x=0,x= 9/4

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4 x^{2} = 9 x

x = 0, x = \frac{9}{4}

Decimal Notation

x = 0, x = 2.25

Solution steps

4 x^{2} = 9 x

Move

9 x

to the left side

4 x^{2} - 9 x = 0

Factor

4 x^{2} - 9 x : x (4 x - 9)

x (4 x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x - 9 = 0

Solve

4 x - 9 = 0 : x = \frac{9}{4}

The solutions to the quadratic equation are:

x = 0, x = \frac{9}{4}

- \frac{1}{3} - 1

6 x^{2} + 294 = 0

4 2^{3}

1 + ∣ 1 + b ∣ < 4

5 x - 7 > 8

What are the solutions to the equation 4x^2=9x ?
The solutions to the equation 4x^2=9x are x=0,x= 9/4
Find the zeros of 4x^2=9x
The zeros of 4x^2=9x are x=0,x= 9/4