2x^2+16x+30=x^2+6x+9

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Solution for 2x^2+16x+30=x^2+6x+9 equation: 


Simplifying
2x2 + 16x + 30 = x2 + 6x + 9

Reorder the terms:
30 + 16x + 2x2 = x2 + 6x + 9

Reorder the terms:
30 + 16x + 2x2 = 9 + 6x + x2

Solving
30 + 16x + 2x2 = 9 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
30 + -9 + 16x + -6x + 2x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 30 + -9 = 21
21 + 16x + -6x + 2x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 16x + -6x = 10x
21 + 10x + 2x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
21 + 10x + 1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
21 + 10x + 1x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
21 + 10x + 1x2 = 0 + 6x + -6x + x2 + -1x2
21 + 10x + 1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
21 + 10x + 1x2 = 0 + x2 + -1x2
21 + 10x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
21 + 10x + 1x2 = 0

Factor a trinomial.
(7 + x)(3 + 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 '(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
Solution
x = {-7, -3}

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