(x^2+9x+14)=(x+7)

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Solution for (x^2+9x+14)=(x+7) equation: 


Simplifying
(x2 + 9x + 14) = (x + 7)

Reorder the terms:
(14 + 9x + x2) = (x + 7)

Remove parenthesis around (14 + 9x + x2)
14 + 9x + x2 = (x + 7)

Reorder the terms:
14 + 9x + x2 = (7 + x)

Remove parenthesis around (7 + x)
14 + 9x + x2 = 7 + x

Solving
14 + 9x + x2 = 7 + x

Solving for variable 'x'.

Reorder the terms:
14 + -7 + 9x + -1x + x2 = 7 + x + -7 + -1x

Combine like terms: 14 + -7 = 7
7 + 9x + -1x + x2 = 7 + x + -7 + -1x

Combine like terms: 9x + -1x = 8x
7 + 8x + x2 = 7 + x + -7 + -1x

Reorder the terms:
7 + 8x + x2 = 7 + -7 + x + -1x

Combine like terms: 7 + -7 = 0
7 + 8x + x2 = 0 + x + -1x
7 + 8x + x2 = x + -1x

Combine like terms: x + -1x = 0
7 + 8x + x2 = 0

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


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

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

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

Simplifying
x = -7

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 = {-7, -1}

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