X^2+42X-43=0

Solution for X^2+42X-43=0 equation:

Simplifying
X2 + 42X + -43 = 0

Reorder the terms:
-43 + 42X + X2 = 0

Solving
-43 + 42X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-43 + -1X)(1 + -1X) = 0

Subproblem 1
Set the factor '(-43 + -1X)' equal to zero and attempt to solve:

Simplifying
-43 + -1X = 0

Solving
-43 + -1X = 0

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

Add '43' to each side of the equation.
-43 + 43 + -1X = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1X = 0 + 43
-1X = 0 + 43

Combine like terms: 0 + 43 = 43
-1X = 43

Divide each side by '-1'.
X = -43

Simplifying
X = -43
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 = {-43, 1}