What are the solutions to the equation 6x(x-1)=2-5x ?

The solutions to the equation 6x(x-1)=2-5x are x= 2/3 ,x=-1/2

Find the zeros of 6x(x-1)=2-5x

The zeros of 6x(x-1)=2-5x are x= 2/3 ,x=-1/2

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6 x (x - 1) = 2 - 5 x

x = \frac{2}{3}, x = - \frac{1}{2}

Decimal Notation

x = 0.66666 \dots, x = - 0.5

Solution steps

6 x (x - 1) = 2 - 5 x

Expand

6 x (x - 1) : 6 x^{2} - 6 x

6 x^{2} - 6 x = 2 - 5 x

Move

5 x

to the left side

6 x^{2} - x = 2

Move

2

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 6 ( - 2 )}{2 \cdot 6}

(- 1)^{2} - 4 \cdot 6 (- 2) = 7

x_{1, 2} = \frac{- ( - 1 ) \pm 7}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 7}{2 \cdot 6}, x_{2} = \frac{- ( - 1 ) - 7}{2 \cdot 6}

x = \frac{- ( - 1 ) + 7}{2 \cdot 6} : \frac{2}{3}

x = \frac{- ( - 1 ) - 7}{2 \cdot 6} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = \frac{2}{3}, x = - \frac{1}{2}

3 x - 10 < 5 x - 2

820

5 ∣ - 4 x + 2 ∣ - 3 \leq 27

h + 15 = 25

x + (x + 2) = 28 + (x + 4)

What are the solutions to the equation 6x(x-1)=2-5x ?
The solutions to the equation 6x(x-1)=2-5x are x= 2/3 ,x=-1/2
Find the zeros of 6x(x-1)=2-5x
The zeros of 6x(x-1)=2-5x are x= 2/3 ,x=-1/2