(x-15)(x-15)=64

Solution for (x-15)(x-15)=64 equation:

Simplifying
(x + -15)(x + -15) = 64

Reorder the terms:
(-15 + x)(x + -15) = 64

Reorder the terms:
(-15 + x)(-15 + x) = 64

Multiply (-15 + x) * (-15 + x)
(-15(-15 + x) + x(-15 + x)) = 64
((-15 * -15 + x * -15) + x(-15 + x)) = 64
((225 + -15x) + x(-15 + x)) = 64
(225 + -15x + (-15 * x + x * x)) = 64
(225 + -15x + (-15x + x2)) = 64

Combine like terms: -15x + -15x = -30x
(225 + -30x + x2) = 64

Solving
225 + -30x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
225 + -64 + -30x + x2 = 64 + -64

Combine like terms: 225 + -64 = 161
161 + -30x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
161 + -30x + x2 = 0

Factor a trinomial.
(7 + -1x)(23 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(23 + -1x)' equal to zero and attempt to solve:

Simplifying
23 + -1x = 0

Solving
23 + -1x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 0 + -23
-1x = 0 + -23

Combine like terms: 0 + -23 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23
Solution
x = {7, 23}