x^2+16x-42=-6

Solution for x^2+16x-42=-6 equation:

Simplifying
x2 + 16x + -42 = -6

Reorder the terms:
-42 + 16x + x2 = -6

Solving
-42 + 16x + x2 = -6

Solving for variable 'x'.

Reorder the terms:
-42 + 6 + 16x + x2 = -6 + 6

Combine like terms: -42 + 6 = -36
-36 + 16x + x2 = -6 + 6

Combine like terms: -6 + 6 = 0
-36 + 16x + x2 = 0

Factor a trinomial.
(-18 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-18, 2}