(x-7)(x-7)=121

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Solution for (x-7)(x-7)=121 equation: 


Simplifying
(x + -7)(x + -7) = 121

Reorder the terms:
(-7 + x)(x + -7) = 121

Reorder the terms:
(-7 + x)(-7 + x) = 121

Multiply (-7 + x) * (-7 + x)
(-7(-7 + x) + x(-7 + x)) = 121
((-7 * -7 + x * -7) + x(-7 + x)) = 121
((49 + -7x) + x(-7 + x)) = 121
(49 + -7x + (-7 * x + x * x)) = 121
(49 + -7x + (-7x + x2)) = 121

Combine like terms: -7x + -7x = -14x
(49 + -14x + x2) = 121

Solving
49 + -14x + x2 = 121

Solving for variable 'x'.

Reorder the terms:
49 + -121 + -14x + x2 = 121 + -121

Combine like terms: 49 + -121 = -72
-72 + -14x + x2 = 121 + -121

Combine like terms: 121 + -121 = 0
-72 + -14x + x2 = 0

Factor a trinomial.
(-4 + -1x)(18 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-4, 18}

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