-2x^2-15x-19=-x^2-9x-11

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Solution for -2x^2-15x-19=-x^2-9x-11 equation: 


Simplifying
-2x2 + -15x + -19 = -1x2 + -9x + -11

Reorder the terms:
-19 + -15x + -2x2 = -1x2 + -9x + -11

Reorder the terms:
-19 + -15x + -2x2 = -11 + -9x + -1x2

Solving
-19 + -15x + -2x2 = -11 + -9x + -1x2

Solving for variable 'x'.

Reorder the terms:
-19 + 11 + -15x + 9x + -2x2 + x2 = -11 + -9x + -1x2 + 11 + 9x + x2

Combine like terms: -19 + 11 = -8
-8 + -15x + 9x + -2x2 + x2 = -11 + -9x + -1x2 + 11 + 9x + x2

Combine like terms: -15x + 9x = -6x
-8 + -6x + -2x2 + x2 = -11 + -9x + -1x2 + 11 + 9x + x2

Combine like terms: -2x2 + x2 = -1x2
-8 + -6x + -1x2 = -11 + -9x + -1x2 + 11 + 9x + x2

Reorder the terms:
-8 + -6x + -1x2 = -11 + 11 + -9x + 9x + -1x2 + x2

Combine like terms: -11 + 11 = 0
-8 + -6x + -1x2 = 0 + -9x + 9x + -1x2 + x2
-8 + -6x + -1x2 = -9x + 9x + -1x2 + x2

Combine like terms: -9x + 9x = 0
-8 + -6x + -1x2 = 0 + -1x2 + x2
-8 + -6x + -1x2 = -1x2 + x2

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 6x + x2) = 0

Factor a trinomial.
-1((4 + x)(2 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

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 = {-4, -2}

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