3563=x^2+10x-12

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

Simplifying
3563 = x2 + 10x + -12

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

Solving
3563 = -12 + 10x + x2

Solving for variable 'x'.

Combine like terms: 3563 + 12 = 3575
3575 + -10x + -1x2 = -12 + 10x + x2 + 12 + -10x + -1x2

Reorder the terms:
3575 + -10x + -1x2 = -12 + 12 + 10x + -10x + x2 + -1x2

Combine like terms: -12 + 12 = 0
3575 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2
3575 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
3575 + -10x + -1x2 = 0 + x2 + -1x2
3575 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3575 + -10x + -1x2 = 0

Factor a trinomial.
(55 + -1x)(65 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
65 + x = 0

Solving
65 + x = 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 + x = 0 + -65

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

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

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