What are the solutions to the equation solvefor x,x(3x-2)=16 ?

The solutions to the equation solvefor x,x(3x-2)=16 are x= 8/3 ,x=-2

Find the zeros of solvefor x,x(3x-2)=16

The zeros of solvefor x,x(3x-2)=16 are x= 8/3 ,x=-2

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x, x (3 x - 2) = 16

x = \frac{8}{3}, x = - 2

Decimal Notation

x = 2.66666 \dots, x = - 2

Solution steps

x (3 x - 2) = 16

Expand

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

3 x^{2} - 2 x = 16

Move

16

to the left side

3 x^{2} - 2 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 3 ( - 16 )}{2 \cdot 3}

(- 2)^{2} - 4 \cdot 3 (- 16) = 14

x_{1, 2} = \frac{- ( - 2 ) \pm 14}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 14}{2 \cdot 3}, x_{2} = \frac{- ( - 2 ) - 14}{2 \cdot 3}

x = \frac{- ( - 2 ) + 14}{2 \cdot 3} : \frac{8}{3}

x = \frac{- ( - 2 ) - 14}{2 \cdot 3} : - 2

The solutions to the quadratic equation are:

x = \frac{8}{3}, x = - 2

22%

\frac{1}{5} 160

8 \frac{3}{8}

\frac{a}{( 8 a - 3 b )} - \frac{b}{( 3 b - 8 a )}

x, 1 0^{x} = 5

What are the solutions to the equation solvefor x,x(3x-2)=16 ?
The solutions to the equation solvefor x,x(3x-2)=16 are x= 8/3 ,x=-2
Find the zeros of solvefor x,x(3x-2)=16
The zeros of solvefor x,x(3x-2)=16 are x= 8/3 ,x=-2