x^2+10x+26=-3x-4

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Solution for x^2+10x+26=-3x-4 equation: 


Simplifying
x2 + 10x + 26 = -3x + -4

Reorder the terms:
26 + 10x + x2 = -3x + -4

Reorder the terms:
26 + 10x + x2 = -4 + -3x

Solving
26 + 10x + x2 = -4 + -3x

Solving for variable 'x'.

Reorder the terms:
26 + 4 + 10x + 3x + x2 = -4 + -3x + 4 + 3x

Combine like terms: 26 + 4 = 30
30 + 10x + 3x + x2 = -4 + -3x + 4 + 3x

Combine like terms: 10x + 3x = 13x
30 + 13x + x2 = -4 + -3x + 4 + 3x

Reorder the terms:
30 + 13x + x2 = -4 + 4 + -3x + 3x

Combine like terms: -4 + 4 = 0
30 + 13x + x2 = 0 + -3x + 3x
30 + 13x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
30 + 13x + x2 = 0

Factor a trinomial.
(10 + x)(3 + x) = 0


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

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 = {-10, -3}

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