X^2+16X-420=0

Solution for X^2+16X-420=0 equation:

Simplifying
X2 + 16X + -420 = 0

Reorder the terms:
-420 + 16X + X2 = 0

Solving
-420 + 16X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-30 + -1X)(14 + -1X) = 0

Subproblem 1
Set the factor '(-30 + -1X)' equal to zero and attempt to solve:

Simplifying
-30 + -1X = 0

Solving
-30 + -1X = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1X = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1X = 0 + 30
-1X = 0 + 30

Combine like terms: 0 + 30 = 30
-1X = 30

Divide each side by '-1'.
X = -30

Simplifying
X = -30
Subproblem 2
Set the factor '(14 + -1X)' equal to zero and attempt to solve:

Simplifying
14 + -1X = 0

Solving
14 + -1X = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1X = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1X = 0 + -14
-1X = 0 + -14

Combine like terms: 0 + -14 = -14
-1X = -14

Divide each side by '-1'.
X = 14

Simplifying
X = 14
Solution
X = {-30, 14}