What are the solutions to the equation 0=3x^2-8x-16 ?

The solutions to the equation 0=3x^2-8x-16 are x=4,x=-4/3

Find the zeros of 0=3x^2-8x-16

The zeros of 0=3x^2-8x-16 are x=4,x=-4/3

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0 = 3 x^{2} - 8 x - 16

x = 4, x = - \frac{4}{3}

Decimal Notation

x = 4, x = - 1.33333 \dots

Solution steps

0 = 3 x^{2} - 8 x - 16

Switch sides

3 x^{2} - 8 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 16 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 16) = 16

x_{1, 2} = \frac{- ( - 8 ) \pm 16}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 16}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 16}{2 \cdot 3}

x = \frac{- ( - 8 ) + 16}{2 \cdot 3} : 4

x = \frac{- ( - 8 ) - 16}{2 \cdot 3} : - \frac{4}{3}

The solutions to the quadratic equation are:

x = 4, x = - \frac{4}{3}

7 x (x - 2) = 3 - 2 (x + 4)

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

x^{2} - x + 6 = 3

12 x^{2} - 120 x + 216 = 0

- 7 x - 10 = 3 x^{2}

What are the solutions to the equation 0=3x^2-8x-16 ?
The solutions to the equation 0=3x^2-8x-16 are x=4,x=-4/3
Find the zeros of 0=3x^2-8x-16
The zeros of 0=3x^2-8x-16 are x=4,x=-4/3