x^2+7x+2=80

Solution for x^2+7x+2=80 equation:

Simplifying
x2 + 7x + 2 = 80

Reorder the terms:
2 + 7x + x2 = 80

Solving
2 + 7x + x2 = 80

Solving for variable 'x'.

Reorder the terms:
2 + -80 + 7x + x2 = 80 + -80

Combine like terms: 2 + -80 = -78
-78 + 7x + x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-78 + 7x + x2 = 0

Factor a trinomial.
(-13 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
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 = {-13, 6}