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

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

Find the zeros of 4x^3=3x^2

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

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4 x^{3} = 3 x^{2}

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

Decimal Notation

x = 0, x = 0.75

Solution steps

4 x^{3} = 3 x^{2}

Move

3 x^{2}

to the left side

4 x^{3} - 3 x^{2} = 0

Factor

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

x^{2} (4 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x - 3 = 0

Solve

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

The solutions are

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

(x + 2) (5 x^{2} + 9) (x^{2} + 3) = 0

2 x^{3} - 18 x^{2} - 8 x + 72 = 0

(x + 7) (x^{2} - 49) = 0

16 x^{4} + 9 = 25 x^{2}

x^{3} - 3 x - 7 = 0

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