x^2-10x-12=3563

Solution for x^2-10x-12=3563 equation:

Simplifying
x2 + -10x + -12 = 3563

Reorder the terms:
-12 + -10x + x2 = 3563

Solving
-12 + -10x + x2 = 3563

Solving for variable 'x'.

Reorder the terms:
-12 + -3563 + -10x + x2 = 3563 + -3563

Combine like terms: -12 + -3563 = -3575
-3575 + -10x + x2 = 3563 + -3563

Combine like terms: 3563 + -3563 = 0
-3575 + -10x + x2 = 0

Factor a trinomial.
(-55 + -1x)(65 + -1x) = 0

Subproblem 1
Set the factor '(-55 + -1x)' equal to zero and attempt to solve:

Simplifying
-55 + -1x = 0

Solving
-55 + -1x = 0

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

Add '55' to each side of the equation.
-55 + 55 + -1x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -1x = 0 + 55
-1x = 0 + 55

Combine like terms: 0 + 55 = 55
-1x = 55

Divide each side by '-1'.
x = -55

Simplifying
x = -55
Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve:

Simplifying
65 + -1x = 0

Solving
65 + -1x = 0

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

Add '-65' to each side of the equation.
65 + -65 + -1x = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -1x = 0 + -65
-1x = 0 + -65

Combine like terms: 0 + -65 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65
Solution
x = {-55, 65}