x^2+14x-75=-3

Solution for x^2+14x-75=-3 equation:

Simplifying
x2 + 14x + -75 = -3

Reorder the terms:
-75 + 14x + x2 = -3

Solving
-75 + 14x + x2 = -3

Solving for variable 'x'.

Reorder the terms:
-75 + 3 + 14x + x2 = -3 + 3

Combine like terms: -75 + 3 = -72
-72 + 14x + x2 = -3 + 3

Combine like terms: -3 + 3 = 0
-72 + 14x + x2 = 0

Factor a trinomial.
(-18 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-18, 4}