What are the solutions to the equation (2x+6)(x+2)=144 ?

The solutions to the equation (2x+6)(x+2)=144 are x=6,x=-11

Find the zeros of (2x+6)(x+2)=144

The zeros of (2x+6)(x+2)=144 are x=6,x=-11

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(2 x + 6) (x + 2) = 144

x = 6, x = - 11

Solution steps

(2 x + 6) (x + 2) = 144

Expand

(2 x + 6) (x + 2) : 2 x^{2} + 10 x + 12

2 x^{2} + 10 x + 12 = 144

Move

144

to the left side

2 x^{2} + 10 x - 132 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 2 ( - 132 )}{2 \cdot 2}

1 0^{2} - 4 \cdot 2 (- 132) = 34

x_{1, 2} = \frac{- 10 \pm 34}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 10 + 34}{2 \cdot 2}, x_{2} = \frac{- 10 - 34}{2 \cdot 2}

x = \frac{- 10 + 34}{2 \cdot 2} : 6

x = \frac{- 10 - 34}{2 \cdot 2} : - 11

The solutions to the quadratic equation are:

x = 6, x = - 11

0.1 x^{2} = 100

x, x^{2} + y^{2} + z^{2} - 8 x + 8 y - 6 z - 9 = 0

30 x^{2} + 17 a x - 21 a^{2} = 0

(x + 7) (x - 18) = 0

5^{2} + 1 3^{2} = c^{2}

What are the solutions to the equation (2x+6)(x+2)=144 ?
The solutions to the equation (2x+6)(x+2)=144 are x=6,x=-11
Find the zeros of (2x+6)(x+2)=144
The zeros of (2x+6)(x+2)=144 are x=6,x=-11