x^2+10x+21=(x+7)

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Solution for x^2+10x+21=(x+7) equation: 


Simplifying
x2 + 10x + 21 = (x + 7)

Reorder the terms:
21 + 10x + x2 = (x + 7)

Reorder the terms:
21 + 10x + x2 = (7 + x)

Remove parenthesis around (7 + x)
21 + 10x + x2 = 7 + x

Solving
21 + 10x + x2 = 7 + x

Solving for variable 'x'.

Reorder the terms:
21 + -7 + 10x + -1x + x2 = 7 + x + -7 + -1x

Combine like terms: 21 + -7 = 14
14 + 10x + -1x + x2 = 7 + x + -7 + -1x

Combine like terms: 10x + -1x = 9x
14 + 9x + x2 = 7 + x + -7 + -1x

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

Combine like terms: 7 + -7 = 0
14 + 9x + x2 = 0 + x + -1x
14 + 9x + x2 = x + -1x

Combine like terms: x + -1x = 0
14 + 9x + x2 = 0

Factor a trinomial.
(7 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-7, -2}

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