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

The solutions to the equation 4X^3=2X^2 are X=0,X= 1/2

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

The zeros of 4X^3=2X^2 are X=0,X= 1/2

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4 X^{3} = 2 X^{2}

X = 0, X = \frac{1}{2}

Solution steps

4 X^{3} = 2 X^{2}

Move

2 X^{2}

to the left side

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

Factor

4 X^{3} - 2 X^{2} : 2 X^{2} (2 X - 1)

2 X^{2} (2 X - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

X = 0 or 2 X - 1 = 0

Solve

2 X - 1 = 0 : X = \frac{1}{2}

The solutions are

X = 0, X = \frac{1}{2}

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

3 w - w^{3} = 2

x^{5} = 1 0^{35}

y^{3} y - 5 = 19

x^{4} + 8 x - 8 = 0

What are the solutions to the equation 4X^3=2X^2 ?
The solutions to the equation 4X^3=2X^2 are X=0,X= 1/2
Find the zeros of 4X^3=2X^2
The zeros of 4X^3=2X^2 are X=0,X= 1/2