What are the solutions to the equation (3x+6)(x+6)=231 ?

The solutions to the equation (3x+6)(x+6)=231 are x=5,x=-13

Find the zeros of (3x+6)(x+6)=231

The zeros of (3x+6)(x+6)=231 are x=5,x=-13

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(3 x + 6) (x + 6) = 231

x = 5, x = - 13

Solution steps

(3 x + 6) (x + 6) = 231

Expand

(3 x + 6) (x + 6) : 3 x^{2} + 24 x + 36

3 x^{2} + 24 x + 36 = 231

Move

231

to the left side

3 x^{2} + 24 x - 195 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 3 ( - 195 )}{2 \cdot 3}

2 4^{2} - 4 \cdot 3 (- 195) = 54

x_{1, 2} = \frac{- 24 \pm 54}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 24 + 54}{2 \cdot 3}, x_{2} = \frac{- 24 - 54}{2 \cdot 3}

x = \frac{- 24 + 54}{2 \cdot 3} : 5

x = \frac{- 24 - 54}{2 \cdot 3} : - 13

The solutions to the quadratic equation are:

x = 5, x = - 13

2 x - (x - 4) 2 = (2 x - 5) (x + 3)

4 x^{2} - 10 x + 2 = 0

x^{2} + 6 x - (a^{2} + 2 a - 8) = 0

x (x \frac{1}{3}) = 27

x^{2} - 2 (k + 1) x + k^{2} = 0

What are the solutions to the equation (3x+6)(x+6)=231 ?
The solutions to the equation (3x+6)(x+6)=231 are x=5,x=-13
Find the zeros of (3x+6)(x+6)=231
The zeros of (3x+6)(x+6)=231 are x=5,x=-13