What are the solutions to the equation -3x^2-6x+21=6x+8 ?

The solutions to the equation -3x^2-6x+21=6x+8 are x=-(6+5sqrt(3))/3 ,x=(5sqrt(3)-6)/3

Find the zeros of -3x^2-6x+21=6x+8

The zeros of -3x^2-6x+21=6x+8 are x=-(6+5sqrt(3))/3 ,x=(5sqrt(3)-6)/3

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- 3 x^{2} - 6 x + 21 = 6 x + 8

x = - \frac{6 + 5 3}{3}, x = \frac{5 3 - 6}{3}

Decimal Notation

x = - 4.88675 \dots, x = 0.88675 \dots

Solution steps

- 3 x^{2} - 6 x + 21 = 6 x + 8

Move

8

to the left side

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

Move

6 x

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 3 ) \cdot 13}{2 ( - 3 )}

(- 12)^{2} - 4 (- 3) \cdot 13 = 103

x_{1, 2} = \frac{- ( - 12 ) \pm 10 3}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 10 3}{2 ( - 3 )}, x_{2} = \frac{- ( - 12 ) - 10 3}{2 ( - 3 )}

x = \frac{- ( - 12 ) + 10 3}{2 ( - 3 )} : - \frac{6 + 5 3}{3}

x = \frac{- ( - 12 ) - 10 3}{2 ( - 3 )} : \frac{5 3 - 6}{3}

The solutions to the quadratic equation are:

x = - \frac{6 + 5 3}{3}, x = \frac{5 3 - 6}{3}

4 x^{2} = - 8 x - 1

2 x (3 x - 7) = 2 x - 5

5 x^{2} - 10 x - 44 = - 4

3 z^{2} - 9 = 0

x, x^{2} + k (4 x + 17) = 0

What are the solutions to the equation -3x^2-6x+21=6x+8 ?
The solutions to the equation -3x^2-6x+21=6x+8 are x=-(6+5sqrt(3))/3 ,x=(5sqrt(3)-6)/3
Find the zeros of -3x^2-6x+21=6x+8
The zeros of -3x^2-6x+21=6x+8 are x=-(6+5sqrt(3))/3 ,x=(5sqrt(3)-6)/3