What are the solutions to the equation 2x(x+2)+x+2=5 ?

The solutions to the equation 2x(x+2)+x+2=5 are x= 1/2 ,x=-3

Find the zeros of 2x(x+2)+x+2=5

The zeros of 2x(x+2)+x+2=5 are x= 1/2 ,x=-3

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2 x (x + 2) + x + 2 = 5

x = \frac{1}{2}, x = - 3

Decimal Notation

x = 0.5, x = - 3

Solution steps

2 x (x + 2) + x + 2 = 5

Expand

2 x (x + 2) + x + 2 : 2 x^{2} + 5 x + 2

2 x^{2} + 5 x + 2 = 5

Move

5

to the left side

2 x^{2} + 5 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

5^{2} - 4 \cdot 2 (- 3) = 7

x_{1, 2} = \frac{- 5 \pm 7}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 5 + 7}{2 \cdot 2}, x_{2} = \frac{- 5 - 7}{2 \cdot 2}

x = \frac{- 5 + 7}{2 \cdot 2} : \frac{1}{2}

x = \frac{- 5 - 7}{2 \cdot 2} : - 3

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - 3

9 x^{2} - 53 x + 49 = 0

4 b^{2} + 16 b - 19 = - 10

(x - 2) \cdot (x - 1) = 0

\frac{1}{2} x^{2} + 5 x - 12 = 0

(x + 1) (3 x - 5) = (5 x - 3) \cdot 4

What are the solutions to the equation 2x(x+2)+x+2=5 ?
The solutions to the equation 2x(x+2)+x+2=5 are x= 1/2 ,x=-3
Find the zeros of 2x(x+2)+x+2=5
The zeros of 2x(x+2)+x+2=5 are x= 1/2 ,x=-3