x^2+83x-84=0

Solution for x^2+83x-84=0 equation:

Simplifying
x2 + 83x + -84 = 0

Reorder the terms:
-84 + 83x + x2 = 0

Solving
-84 + 83x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-84 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-84 + -1x)' equal to zero and attempt to solve:

Simplifying
-84 + -1x = 0

Solving
-84 + -1x = 0

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

Add '84' to each side of the equation.
-84 + 84 + -1x = 0 + 84

Combine like terms: -84 + 84 = 0
0 + -1x = 0 + 84
-1x = 0 + 84

Combine like terms: 0 + 84 = 84
-1x = 84

Divide each side by '-1'.
x = -84

Simplifying
x = -84
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-84, 1}