x^2-43x-294=0

Solution for x^2-43x-294=0 equation:

Simplifying
x2 + -43x + -294 = 0

Reorder the terms:
-294 + -43x + x2 = 0

Solving
-294 + -43x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(49 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
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
Solution
x = {-6, 49}