What are the solutions to the equation 3x=15x^2 ?

The solutions to the equation 3x=15x^2 are x=0,x= 1/5

Find the zeros of 3x=15x^2

The zeros of 3x=15x^2 are x=0,x= 1/5

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3 x = 15 x^{2}

x = 0, x = \frac{1}{5}

Decimal Notation

x = 0, x = 0.2

Solution steps

3 x = 15 x^{2}

Move

15 x^{2}

to the left side

3 x - 15 x^{2} = 0

Factor

3 x - 15 x^{2} : - 3 x (5 x - 1)

- 3 x (5 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x - 1 = 0

Solve

5 x - 1 = 0 : x = \frac{1}{5}

The solutions to the quadratic equation are:

x = 0, x = \frac{1}{5}

y^{2} - 6 y = 0

0 = 2 x^{2} - 4 x - 6

x^{2} - 6 x + n = 0

4 q^{2} - 12 q + 9 = 0

5 t^{2} - 16 t = 16

What are the solutions to the equation 3x=15x^2 ?
The solutions to the equation 3x=15x^2 are x=0,x= 1/5
Find the zeros of 3x=15x^2
The zeros of 3x=15x^2 are x=0,x= 1/5