What are the solutions to the equation -15x=45x^2 ?

The solutions to the equation -15x=45x^2 are x=0,x=-1/3

Find the zeros of -15x=45x^2

The zeros of -15x=45x^2 are x=0,x=-1/3

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- 15 x = 45 x^{2}

x = 0, x = - \frac{1}{3}

Decimal Notation

x = 0, x = - 0.33333 \dots

Solution steps

- 15 x = 45 x^{2}

Move

45 x^{2}

to the left side

- 15 x - 45 x^{2} = 0

Factor

- 15 x - 45 x^{2} : - 15 x (3 x + 1)

- 15 x (3 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 1 = 0

Solve

3 x + 1 = 0 : x = - \frac{1}{3}

The solutions to the quadratic equation are:

x = 0, x = - \frac{1}{3}

x, 5 x^{2} + 5 y^{2} + 10 x - 10 y + 20 = 0

m^{2} = 0

- x^{2} = - 4

4 x^{2} + 24 x - 5 = 19

x^{2} - \frac{2}{3} x + 6

What are the solutions to the equation -15x=45x^2 ?
The solutions to the equation -15x=45x^2 are x=0,x=-1/3
Find the zeros of -15x=45x^2
The zeros of -15x=45x^2 are x=0,x=-1/3