0=x^2+14x-1632

Solution for 0=x^2+14x-1632 equation:

Simplifying
0 = x2 + 14x + -1632

Reorder the terms:
0 = -1632 + 14x + x2

Solving
0 = -1632 + 14x + x2

Solving for variable 'x'.

Combine like terms: 0 + 1632 = 1632
1632 + -14x + -1x2 = -1632 + 14x + x2 + 1632 + -14x + -1x2

Reorder the terms:
1632 + -14x + -1x2 = -1632 + 1632 + 14x + -14x + x2 + -1x2

Combine like terms: -1632 + 1632 = 0
1632 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2
1632 + -14x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
1632 + -14x + -1x2 = 0 + x2 + -1x2
1632 + -14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1632 + -14x + -1x2 = 0

Factor a trinomial.
(34 + -1x)(48 + x) = 0

Subproblem 1
Set the factor '(34 + -1x)' equal to zero and attempt to solve:

Simplifying
34 + -1x = 0

Solving
34 + -1x = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 0 + -34
-1x = 0 + -34

Combine like terms: 0 + -34 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34
Subproblem 2
Set the factor '(48 + x)' equal to zero and attempt to solve:

Simplifying
48 + x = 0

Solving
48 + x = 0

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

Add '-48' to each side of the equation.
48 + -48 + x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + x = 0 + -48
x = 0 + -48

Combine like terms: 0 + -48 = -48
x = -48

Simplifying
x = -48
Solution
x = {34, -48}