(x-6)(x-6)=49

Solution for (x-6)(x-6)=49 equation:

Simplifying
(x + -6)(x + -6) = 49

Reorder the terms:
(-6 + x)(x + -6) = 49

Reorder the terms:
(-6 + x)(-6 + x) = 49

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = 49
((-6 * -6 + x * -6) + x(-6 + x)) = 49
((36 + -6x) + x(-6 + x)) = 49
(36 + -6x + (-6 * x + x * x)) = 49
(36 + -6x + (-6x + x2)) = 49

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = 49

Solving
36 + -12x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
36 + -49 + -12x + x2 = 49 + -49

Combine like terms: 36 + -49 = -13
-13 + -12x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-13 + -12x + x2 = 0

Factor a trinomial.
(-1 + -1x)(13 + -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 '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-1, 13}