x^2+14x+3=7x-3

Solution for x^2+14x+3=7x-3 equation:

Simplifying
x2 + 14x + 3 = 7x + -3

Reorder the terms:
3 + 14x + x2 = 7x + -3

Reorder the terms:
3 + 14x + x2 = -3 + 7x

Solving
3 + 14x + x2 = -3 + 7x

Solving for variable 'x'.

Reorder the terms:
3 + 3 + 14x + -7x + x2 = -3 + 7x + 3 + -7x

Combine like terms: 3 + 3 = 6
6 + 14x + -7x + x2 = -3 + 7x + 3 + -7x

Combine like terms: 14x + -7x = 7x
6 + 7x + x2 = -3 + 7x + 3 + -7x

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

Combine like terms: -3 + 3 = 0
6 + 7x + x2 = 0 + 7x + -7x
6 + 7x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 7x + x2 = 0

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

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
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 = {-6, -1}