x^2+7x+6=3x+3

Solution for x^2+7x+6=3x+3 equation:

Simplifying
x2 + 7x + 6 = 3x + 3

Reorder the terms:
6 + 7x + x2 = 3x + 3

Reorder the terms:
6 + 7x + x2 = 3 + 3x

Solving
6 + 7x + x2 = 3 + 3x

Solving for variable 'x'.

Reorder the terms:
6 + -3 + 7x + -3x + x2 = 3 + 3x + -3 + -3x

Combine like terms: 6 + -3 = 3
3 + 7x + -3x + x2 = 3 + 3x + -3 + -3x

Combine like terms: 7x + -3x = 4x
3 + 4x + x2 = 3 + 3x + -3 + -3x

Reorder the terms:
3 + 4x + x2 = 3 + -3 + 3x + -3x

Combine like terms: 3 + -3 = 0
3 + 4x + x2 = 0 + 3x + -3x
3 + 4x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
3 + 4x + x2 = 0

Factor a trinomial.
(3 + x)(1 + x) = 0

Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-3, -1}