x^2+20x+6=9x-4

Solution for x^2+20x+6=9x-4 equation:

Simplifying
x2 + 20x + 6 = 9x + -4

Reorder the terms:
6 + 20x + x2 = 9x + -4

Reorder the terms:
6 + 20x + x2 = -4 + 9x

Solving
6 + 20x + x2 = -4 + 9x

Solving for variable 'x'.

Reorder the terms:
6 + 4 + 20x + -9x + x2 = -4 + 9x + 4 + -9x

Combine like terms: 6 + 4 = 10
10 + 20x + -9x + x2 = -4 + 9x + 4 + -9x

Combine like terms: 20x + -9x = 11x
10 + 11x + x2 = -4 + 9x + 4 + -9x

Reorder the terms:
10 + 11x + x2 = -4 + 4 + 9x + -9x

Combine like terms: -4 + 4 = 0
10 + 11x + x2 = 0 + 9x + -9x
10 + 11x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 11x + x2 = 0

Factor a trinomial.
(10 + x)(1 + 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 '(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 = {-10, -1}