What are the solutions to the equation 4x=3x^2 ?

The solutions to the equation 4x=3x^2 are x=0,x= 4/3

Find the zeros of 4x=3x^2

The zeros of 4x=3x^2 are x=0,x= 4/3

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4 x = 3 x^{2}

x = 0, x = \frac{4}{3}

Decimal Notation

x = 0, x = 1.33333 \dots

Solution steps

4 x = 3 x^{2}

Move

3 x^{2}

to the left side

4 x - 3 x^{2} = 0

Factor

4 x - 3 x^{2} : - x (3 x - 4)

- x (3 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x - 4 = 0

Solve

3 x - 4 = 0 : x = \frac{4}{3}

The solutions to the quadratic equation are:

x = 0, x = \frac{4}{3}

(x - 1) (x - 1) = 4

2 x^{2} + 4 x = 5

- \frac{n}{2} + 8 > - 4

\frac{1}{3} (x + 3) = \frac{2}{5} (x + 2)

- 317 - 417

What are the solutions to the equation 4x=3x^2 ?
The solutions to the equation 4x=3x^2 are x=0,x= 4/3
Find the zeros of 4x=3x^2
The zeros of 4x=3x^2 are x=0,x= 4/3