x^2-7x+6=300

Solution for x^2-7x+6=300 equation:

Simplifying
x2 + -7x + 6 = 300

Reorder the terms:
6 + -7x + x2 = 300

Solving
6 + -7x + x2 = 300

Solving for variable 'x'.

Reorder the terms:
6 + -300 + -7x + x2 = 300 + -300

Combine like terms: 6 + -300 = -294
-294 + -7x + x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-294 + -7x + x2 = 0

Factor a trinomial.
(-14 + -1x)(21 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {-14, 21}