Solve x2 5x 6 0 2xx 1 7x 2Solution1 x2 5x 6 0 x2 2

Solve x^2 + 5x + 6 = 0 2x(x + 1) = 7x - 2

Solution

1.

x^2 + 5x + 6 = 0

x^2 + 2x + 3x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 2)(x + 3) = 0

x = -2 OR x = -3

2.

2x(x + 1) = 7x - 2

2x^2 + 2x - 7x - 2 = 0

2x^2 - 5x + 2 = 0

2x^2 - 4x - x + 2 = 0

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

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

x = 1/2 OR x = 2