x^2+(x-7)+1=300

Solution for x^2+(x-7)+1=300 equation:

Simplifying
x2 + (x + -7) + 1 = 300

Reorder the terms:
x2 + (-7 + x) + 1 = 300

Remove parenthesis around (-7 + x)
x2 + -7 + x + 1 = 300

Reorder the terms:
-7 + 1 + x + x2 = 300

Combine like terms: -7 + 1 = -6
-6 + x + x2 = 300

Solving
-6 + x + x2 = 300

Solving for variable 'x'.

Reorder the terms:
-6 + -300 + x + x2 = 300 + -300

Combine like terms: -6 + -300 = -306
-306 + x + x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-306 + x + x2 = 0

Factor a trinomial.
(-18 + -1x)(17 + -1x) = 0

Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18
Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-18, 17}