x^2+16x-27=-10

Solution for x^2+16x-27=-10 equation:

Simplifying
x2 + 16x + -27 = -10

Reorder the terms:
-27 + 16x + x2 = -10

Solving
-27 + 16x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
-27 + 10 + 16x + x2 = -10 + 10

Combine like terms: -27 + 10 = -17
-17 + 16x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
-17 + 16x + x2 = 0

Factor a trinomial.
(-17 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve:

Simplifying
-17 + -1x = 0

Solving
-17 + -1x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 0 + 17
-1x = 0 + 17

Combine like terms: 0 + 17 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17
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 = {-17, 1}