(x-3)(x-3)=121

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Solution for (x-3)(x-3)=121 equation:


Simplifying
(x + -3)(x + -3) = 121

Reorder the terms:
(-3 + x)(x + -3) = 121

Reorder the terms:
(-3 + x)(-3 + x) = 121

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 121
((-3 * -3 + x * -3) + x(-3 + x)) = 121
((9 + -3x) + x(-3 + x)) = 121
(9 + -3x + (-3 * x + x * x)) = 121
(9 + -3x + (-3x + x2)) = 121

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 121

Solving
9 + -6x + x2 = 121

Solving for variable 'x'.

Reorder the terms:
9 + -121 + -6x + x2 = 121 + -121

Combine like terms: 9 + -121 = -112
-112 + -6x + x2 = 121 + -121

Combine like terms: 121 + -121 = 0
-112 + -6x + x2 = 0

Factor a trinomial.
(-8 + -1x)(14 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-8, 14}

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