x^2+x+5=9x-7

Solution for x^2+x+5=9x-7 equation:

Simplifying
x2 + x + 5 = 9x + -7

Reorder the terms:
5 + x + x2 = 9x + -7

Reorder the terms:
5 + x + x2 = -7 + 9x

Solving
5 + x + x2 = -7 + 9x

Solving for variable 'x'.

Reorder the terms:
5 + 7 + x + -9x + x2 = -7 + 9x + 7 + -9x

Combine like terms: 5 + 7 = 12
12 + x + -9x + x2 = -7 + 9x + 7 + -9x

Combine like terms: x + -9x = -8x
12 + -8x + x2 = -7 + 9x + 7 + -9x

Reorder the terms:
12 + -8x + x2 = -7 + 7 + 9x + -9x

Combine like terms: -7 + 7 = 0
12 + -8x + x2 = 0 + 9x + -9x
12 + -8x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -8x + x2 = 0

Factor a trinomial.
(2 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {2, 6}