2x^2+14x+21=x^2+8x+16

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Solution for 2x^2+14x+21=x^2+8x+16 equation: 


Simplifying
2x2 + 14x + 21 = x2 + 8x + 16

Reorder the terms:
21 + 14x + 2x2 = x2 + 8x + 16

Reorder the terms:
21 + 14x + 2x2 = 16 + 8x + x2

Solving
21 + 14x + 2x2 = 16 + 8x + x2

Solving for variable 'x'.

Reorder the terms:
21 + -16 + 14x + -8x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 21 + -16 = 5
5 + 14x + -8x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 14x + -8x = 6x
5 + 6x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
5 + 6x + 1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
5 + 6x + 1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
5 + 6x + 1x2 = 0 + 8x + -8x + x2 + -1x2
5 + 6x + 1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
5 + 6x + 1x2 = 0 + x2 + -1x2
5 + 6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + 6x + 1x2 = 0

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


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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 = {-5, -1}

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