-49=x^2-14x

Solution for -49=x^2-14x equation:

Simplifying
-49 = x2 + -14x

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

Solving
-49 = -14x + x2

Solving for variable 'x'.

Reorder the terms:
-49 + 14x + -1x2 = -14x + 14x + x2 + -1x2

Combine like terms: -14x + 14x = 0
-49 + 14x + -1x2 = 0 + x2 + -1x2
-49 + 14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 + 14x + -1x2 = 0

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

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

Simplifying
-7 + x = 0

Solving
-7 + x = 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 + x = 0 + 7

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

Combine like terms: 0 + 7 = 7
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}