What are the solutions to the equation 3x(x-1)=5-3x ?

The solutions to the equation 3x(x-1)=5-3x are x=sqrt(5/3),x=-sqrt(5/3)

Find the zeros of 3x(x-1)=5-3x

The zeros of 3x(x-1)=5-3x are x=sqrt(5/3),x=-sqrt(5/3)

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3 x (x - 1) = 5 - 3 x

x = \frac{5}{3}, x = - \frac{5}{3}

Decimal Notation

x = 1.29099 \dots, x = - 1.29099 \dots

Solution steps

3 x (x - 1) = 5 - 3 x

Expand

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

3 x^{2} - 3 x = 5 - 3 x

Move

3 x

to the left side

3 x^{2} = 5

Divide both sides by

3

x^{2} = \frac{5}{3}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{5}{3}, x = - \frac{5}{3}

a, f (a + 1) = 2 (a + 1)^{2} - 3

3 x^{2} - 324 = 0

x^{2} - 24 x + 36 = 0

12 w^{2} - 13 w + 3 = 0

0 = - 5 x^{2} + 225

What are the solutions to the equation 3x(x-1)=5-3x ?
The solutions to the equation 3x(x-1)=5-3x are x=sqrt(5/3),x=-sqrt(5/3)
Find the zeros of 3x(x-1)=5-3x
The zeros of 3x(x-1)=5-3x are x=sqrt(5/3),x=-sqrt(5/3)