(x-8)(x-8)-49=0

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Solution for (x-8)(x-8)-49=0 equation: 


Simplifying
(x + -8)(x + -8) + -49 = 0

Reorder the terms:
(-8 + x)(x + -8) + -49 = 0

Reorder the terms:
(-8 + x)(-8 + x) + -49 = 0

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) + -49 = 0
((-8 * -8 + x * -8) + x(-8 + x)) + -49 = 0
((64 + -8x) + x(-8 + x)) + -49 = 0
(64 + -8x + (-8 * x + x * x)) + -49 = 0
(64 + -8x + (-8x + x2)) + -49 = 0

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) + -49 = 0

Reorder the terms:
64 + -49 + -16x + x2 = 0

Combine like terms: 64 + -49 = 15
15 + -16x + x2 = 0

Solving
15 + -16x + x2 = 0

Solving for variable 'x'.

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}

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