(x-3)(x-3)=36

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Solution for (x-3)(x-3)=36 equation: 


Simplifying
(x + -3)(x + -3) = 36

Reorder the terms:
(-3 + x)(x + -3) = 36

Reorder the terms:
(-3 + x)(-3 + x) = 36

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 36
((-3 * -3 + x * -3) + x(-3 + x)) = 36
((9 + -3x) + x(-3 + x)) = 36
(9 + -3x + (-3 * x + x * x)) = 36
(9 + -3x + (-3x + x2)) = 36

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 36

Solving
9 + -6x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
9 + -36 + -6x + x2 = 36 + -36

Combine like terms: 9 + -36 = -27
-27 + -6x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-27 + -6x + x2 = 0

Factor a trinomial.
(-3 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-3, 9}

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