Question

The quadratic equation

Answer 1

x = 0 or -2

Explanation:

`\dashrightarrow{ \sf{3(x + 1) {}^(2) - 15 = - 12 }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow{ \sf{3(x + 1)(x + 1) - 15 = - 12}} \: \: \: \: \\ \\ \dashrightarrow{ \sf{3( {x}^(2) + 2x + 1) - 15 = - 12 }} \: \: \: \: \: \\ \\ \dashrightarrow { \sf{ \frac{3( {x}^(2) + 2x + 1) }{3} - (15)/(3) = ( - 12)/(3) }} \\ \\ \dashrightarrow{ \sf{( {x}^(2) + 2x + 1}) - 5 = - 4} \: \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow { \sf{ {x}^(2) + 2x + (1 - 5 + 4) = 0 }} \: \: \: \: \\ \\ \dashrightarrow { \sf{ {x}^(2) + 2x = 0}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow{ \sf{x(x + 2) = 0}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

Either x or (x + 2) = 0

`{ \sf{x = 0 \: \: or \: \: (x + 2) = 0}} \\ { \boxed{ \sf{x = 0}} \: \: or \ \: \: { \boxed{ \sf{x = - 2}}}}`