What are the solutions to the equation 6x(x+8)=12 ?

The solutions to the equation 6x(x+8)=12 are x=-4+3sqrt(2),x=-4-3sqrt(2)

Find the zeros of 6x(x+8)=12

The zeros of 6x(x+8)=12 are x=-4+3sqrt(2),x=-4-3sqrt(2)

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6 x (x + 8) = 12

x = - 4 + 32, x = - 4 - 32

Decimal Notation

x = 0.24264 \dots, x = - 8.24264 \dots

Solution steps

6 x (x + 8) = 12

Expand

6 x (x + 8) : 6 x^{2} + 48 x

6 x^{2} + 48 x = 12

Move

12

to the left side

6 x^{2} + 48 x - 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 48 \pm 4 8 ^{2} - 4 \cdot 6 ( - 12 )}{2 \cdot 6}

4 8^{2} - 4 \cdot 6 (- 12) = 362

x_{1, 2} = \frac{- 48 \pm 36 2}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 48 + 36 2}{2 \cdot 6}, x_{2} = \frac{- 48 - 36 2}{2 \cdot 6}

x = \frac{- 48 + 36 2}{2 \cdot 6} : - 4 + 32

x = \frac{- 48 - 36 2}{2 \cdot 6} : - 4 - 32

The solutions to the quadratic equation are:

x = - 4 + 32, x = - 4 - 32

8 π - 3 π r^{2} = 0

9 x^{2} - 6 x \leq - 9

0 = s^{2} + 2 s + 2

\frac{x}{6} + 12 = (- 12)

369

What are the solutions to the equation 6x(x+8)=12 ?
The solutions to the equation 6x(x+8)=12 are x=-4+3sqrt(2),x=-4-3sqrt(2)
Find the zeros of 6x(x+8)=12
The zeros of 6x(x+8)=12 are x=-4+3sqrt(2),x=-4-3sqrt(2)