x^2+8x-300=2820

Solution for x^2+8x-300=2820 equation:

Simplifying
x2 + 8x + -300 = 2820

Reorder the terms:
-300 + 8x + x2 = 2820

Solving
-300 + 8x + x2 = 2820

Solving for variable 'x'.

Reorder the terms:
-300 + -2820 + 8x + x2 = 2820 + -2820

Combine like terms: -300 + -2820 = -3120
-3120 + 8x + x2 = 2820 + -2820

Combine like terms: 2820 + -2820 = 0
-3120 + 8x + x2 = 0

Factor a trinomial.
(-60 + -1x)(52 + -1x) = 0

Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(52 + -1x)' equal to zero and attempt to solve:

Simplifying
52 + -1x = 0

Solving
52 + -1x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -1x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1x = 0 + -52
-1x = 0 + -52

Combine like terms: 0 + -52 = -52
-1x = -52

Divide each side by '-1'.
x = 52

Simplifying
x = 52
Solution
x = {-60, 52}