Question

(X + 1) (X + 2) is equals to x ( x + 7 )- 6
can you solve this too please .​

Answer 1

x = 2

Step-by-step explanation:

(x + 1)(x + 2) = x(x + 7) - 6 ← expand left side using FOIL and distribute right side

x² + 3x + 2 = x² + 7x - 6 ( subtract x² from both sides )

3x + 2 = 7x - 6 ( subtract 7x from both sides )

- 4x + 2 = - 6 ( subtract 2 from both sides )

- 4x = - 8 ( divide both sides by - 4 )

x = 2

Answer 2

x = 2

Step-by-step explanation:

`\sf \rightarrow (x+1)(x + 2) = x(x+7)-6`

distribute

`\sf \rightarrow x^2 + 2x + x + 2 = x^2 + 7x - 6`

simplify

`\sf \rightarrow x^2 + 3x + 2 = x^2 + 7x - 6`

isolate x coefficient's to the left side and integers to the right side

`\sf \rightarrow x^2 + 3x -x^2-7x = - 6-2`

collect similar terms

`\sf \rightarrow x^2 -x^2+ 3x-7x = - 6-2`

simplify

`\sf \rightarrow -4x = - 8`

divide both sides by -4

`\sf \rightarrow (-4x)/(-4) = (- 8)/(-4)`

simplify

`\sf \rightarrow x = 2`