X^2-14X+49=64

Solution for X^2-14X+49=64 equation:

Simplifying
X2 + -14X + 49 = 64

Reorder the terms:
49 + -14X + X2 = 64

Solving
49 + -14X + X2 = 64

Solving for variable 'X'.

Reorder the terms:
49 + -64 + -14X + X2 = 64 + -64

Combine like terms: 49 + -64 = -15
-15 + -14X + X2 = 64 + -64

Combine like terms: 64 + -64 = 0
-15 + -14X + X2 = 0

Factor a trinomial.
(-1 + -1X)(15 + -1X) = 0

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

Simplifying
-1 + -1X = 0

Solving
-1 + -1X = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1X = 0 + 1
-1X = 0 + 1

Combine like terms: 0 + 1 = 1
-1X = 1

Divide each side by '-1'.
X = -1

Simplifying
X = -1
Subproblem 2
Set the factor '(15 + -1X)' equal to zero and attempt to solve:

Simplifying
15 + -1X = 0

Solving
15 + -1X = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1X = 0 + -15
-1X = 0 + -15

Combine like terms: 0 + -15 = -15
-1X = -15

Divide each side by '-1'.
X = 15

Simplifying
X = 15
Solution
X = {-1, 15}