x^2-30x+56=-25

Solution for x^2-30x+56=-25 equation:

Simplifying
x2 + -30x + 56 = -25

Reorder the terms:
56 + -30x + x2 = -25

Solving
56 + -30x + x2 = -25

Solving for variable 'x'.

Reorder the terms:
56 + 25 + -30x + x2 = -25 + 25

Combine like terms: 56 + 25 = 81
81 + -30x + x2 = -25 + 25

Combine like terms: -25 + 25 = 0
81 + -30x + x2 = 0

Factor a trinomial.
(3 + -1x)(27 + -1x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve:

Simplifying
27 + -1x = 0

Solving
27 + -1x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 0 + -27
-1x = 0 + -27

Combine like terms: 0 + -27 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27
Solution
x = {3, 27}