((x-7)(x-7))=4

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Solution for ((x-7)(x-7))=4 equation: 


Simplifying
((x + -7)(x + -7)) = 4

Reorder the terms:
((-7 + x)(x + -7)) = 4

Reorder the terms:
((-7 + x)(-7 + x)) = 4

Multiply (-7 + x) * (-7 + x)
((-7(-7 + x) + x(-7 + x))) = 4
(((-7 * -7 + x * -7) + x(-7 + x))) = 4
(((49 + -7x) + x(-7 + x))) = 4
((49 + -7x + (-7 * x + x * x))) = 4
((49 + -7x + (-7x + x2))) = 4

Combine like terms: -7x + -7x = -14x
((49 + -14x + x2)) = 4
(49 + -14x + x2) = 4

Remove parenthesis around (49 + -14x + x2)
49 + -14x + x2 = 4

Solving
49 + -14x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
49 + -4 + -14x + x2 = 4 + -4

Combine like terms: 49 + -4 = 45
45 + -14x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
45 + -14x + x2 = 0

Factor a trinomial.
(5 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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 = {5, 9}

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