X^2+48X-49=0

Solution for X^2+48X-49=0 equation:

Simplifying
X2 + 48X + -49 = 0

Reorder the terms:
-49 + 48X + X2 = 0

Solving
-49 + 48X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-49 + -1X)(1 + -1X) = 0

Subproblem 1
Set the factor '(-49 + -1X)' equal to zero and attempt to solve:

Simplifying
-49 + -1X = 0

Solving
-49 + -1X = 0

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

Add '49' to each side of the equation.
-49 + 49 + -1X = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -1X = 0 + 49
-1X = 0 + 49

Combine like terms: 0 + 49 = 49
-1X = 49

Divide each side by '-1'.
X = -49

Simplifying
X = -49
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 = {-49, 1}