(7x-7)(x-7)=0

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Solution for (7x-7)(x-7)=0 equation: 


Simplifying
(7x + -7)(x + -7) = 0

Reorder the terms:
(-7 + 7x)(x + -7) = 0

Reorder the terms:
(-7 + 7x)(-7 + x) = 0

Multiply (-7 + 7x) * (-7 + x)
(-7(-7 + x) + 7x * (-7 + x)) = 0
((-7 * -7 + x * -7) + 7x * (-7 + x)) = 0
((49 + -7x) + 7x * (-7 + x)) = 0
(49 + -7x + (-7 * 7x + x * 7x)) = 0
(49 + -7x + (-49x + 7x2)) = 0

Combine like terms: -7x + -49x = -56x
(49 + -56x + 7x2) = 0

Solving
49 + -56x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(7 + -8x + x2) = 0

Factor a trinomial.
7((1 + -1x)(7 + -1x)) = 0

Ignore the factor 7.

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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {1, 7}

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