(x-9)(x-9)=64

Solution for (x-9)(x-9)=64 equation:

Simplifying
(x + -9)(x + -9) = 64

Reorder the terms:
(-9 + x)(x + -9) = 64

Reorder the terms:
(-9 + x)(-9 + x) = 64

Multiply (-9 + x) * (-9 + x)
(-9(-9 + x) + x(-9 + x)) = 64
((-9 * -9 + x * -9) + x(-9 + x)) = 64
((81 + -9x) + x(-9 + x)) = 64
(81 + -9x + (-9 * x + x * x)) = 64
(81 + -9x + (-9x + x2)) = 64

Combine like terms: -9x + -9x = -18x
(81 + -18x + x2) = 64

Solving
81 + -18x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
81 + -64 + -18x + x2 = 64 + -64

Combine like terms: 81 + -64 = 17
17 + -18x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
17 + -18x + x2 = 0

Factor a trinomial.
(1 + -1x)(17 + -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 '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {1, 17}