Solve equations using factorization method: (x + 3)2 – 4(x + 3) – 5 = 0
Solve equations using factorization method: (x + 3)2 – 4(x + 3) – 5 = 0

Given condition, \[\left( x\text{ }+\text{ }3 \right)2\text{ }\text{ }4\left( x\text{ }+\text{ }3 \right)\text{ }\text{ }5\text{ }=\text{ }0\]

\[\left( x2\text{ }+\text{ }9\text{ }+\text{ }6x \right)\text{ }\text{ }4x\text{ }\text{ }12\text{ }\text{ }5\text{ }=\text{ }0\]

\[x2\text{ }+\text{ }2x\text{ }\text{ }8\text{ }=\text{ }0\]

\[x2\text{ }+\text{ }4x\text{ }\text{ }2x\text{ }\text{ }8\text{ }=\text{ }0\]

\[x\left( x\text{ }+\text{ }4 \right)\text{ }\text{ }2\left( x\text{ }\text{ }4 \right)\text{ }=\text{ }0\]

\[\left( x\text{ }\text{ }2 \right)\left( x\text{ }+\text{ }4 \right)\text{ }=\text{ }0\]

Thus, \[x\text{ }\text{ }2\text{ }=\text{ }0\] or \[x\text{ }+\text{ }4\text{ }=\text{ }0\]

Consequently,

\[x\text{ }=\text{ }2\] or \[x\text{ }=\text{ }-\text{ }4\]