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.
(-15 + -1x)(1 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-15, 1}