x^2+9x+26=-4x+4

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Solution for x^2+9x+26=-4x+4 equation: 


Simplifying
x2 + 9x + 26 = -4x + 4

Reorder the terms:
26 + 9x + x2 = -4x + 4

Reorder the terms:
26 + 9x + x2 = 4 + -4x

Solving
26 + 9x + x2 = 4 + -4x

Solving for variable 'x'.

Reorder the terms:
26 + -4 + 9x + 4x + x2 = 4 + -4x + -4 + 4x

Combine like terms: 26 + -4 = 22
22 + 9x + 4x + x2 = 4 + -4x + -4 + 4x

Combine like terms: 9x + 4x = 13x
22 + 13x + x2 = 4 + -4x + -4 + 4x

Reorder the terms:
22 + 13x + x2 = 4 + -4 + -4x + 4x

Combine like terms: 4 + -4 = 0
22 + 13x + x2 = 0 + -4x + 4x
22 + 13x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
22 + 13x + x2 = 0

Factor a trinomial.
(11 + x)(2 + x) = 0


Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

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 = {-11, -2}

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