What are the solutions to the equation 6x^2-10x+8=3x+6 ?

The solutions to the equation 6x^2-10x+8=3x+6 are x=2,x= 1/6

Find the zeros of 6x^2-10x+8=3x+6

The zeros of 6x^2-10x+8=3x+6 are x=2,x= 1/6

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6 x^{2} - 10 x + 8 = 3 x + 6

x = 2, x = \frac{1}{6}

Decimal Notation

x = 2, x = 0.16666 \dots

Solution steps

6 x^{2} - 10 x + 8 = 3 x + 6

Move

6

to the left side

6 x^{2} - 10 x + 2 = 3 x

Move

3 x

to the left side

6 x^{2} - 13 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 6 \cdot 2}{2 \cdot 6}

(- 13)^{2} - 4 \cdot 6 \cdot 2 = 11

x_{1, 2} = \frac{- ( - 13 ) \pm 11}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 11}{2 \cdot 6}, x_{2} = \frac{- ( - 13 ) - 11}{2 \cdot 6}

x = \frac{- ( - 13 ) + 11}{2 \cdot 6} : 2

x = \frac{- ( - 13 ) - 11}{2 \cdot 6} : \frac{1}{6}

The solutions to the quadratic equation are:

x = 2, x = \frac{1}{6}

\frac{2}{5} - \frac{7}{2} x + \frac{1}{2} (x + \frac{1}{3}) = - \frac{5}{2} + x

6 n^{6} + 18 n^{4} - 24 n

- (\frac{2}{3})^{2}

- 7 = \frac{5 x - 24}{- 3}

∣ 6 x + 2 ∣ = 6

What are the solutions to the equation 6x^2-10x+8=3x+6 ?
The solutions to the equation 6x^2-10x+8=3x+6 are x=2,x= 1/6
Find the zeros of 6x^2-10x+8=3x+6
The zeros of 6x^2-10x+8=3x+6 are x=2,x= 1/6