x^2+14x-1472=0

Solution for x^2+14x-1472=0 equation:

Simplifying
x2 + 14x + -1472 = 0

Reorder the terms:
-1472 + 14x + x2 = 0

Solving
-1472 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-46 + -1x)(32 + -1x) = 0

Subproblem 1
Set the factor '(-46 + -1x)' equal to zero and attempt to solve:

Simplifying
-46 + -1x = 0

Solving
-46 + -1x = 0

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

Add '46' to each side of the equation.
-46 + 46 + -1x = 0 + 46

Combine like terms: -46 + 46 = 0
0 + -1x = 0 + 46
-1x = 0 + 46

Combine like terms: 0 + 46 = 46
-1x = 46

Divide each side by '-1'.
x = -46

Simplifying
x = -46
Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Solution
x = {-46, 32}