x(x-14)=-49

Solution for x(x-14)=-49 equation:

Simplifying
x(x + -14) = -49

Reorder the terms:
x(-14 + x) = -49
(-14 * x + x * x) = -49
(-14x + x2) = -49

Solving
-14x + x2 = -49

Solving for variable 'x'.

Reorder the terms:
49 + -14x + x2 = -49 + 49

Combine like terms: -49 + 49 = 0
49 + -14x + x2 = 0

Factor a trinomial.
(7 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {7, 7}