(7x-7)*(1-x)=

Solution for (7x-7)*(1-x)= equation:

Simplifying
(7x + -7)(1 + -1x) = 0

Reorder the terms:
(-7 + 7x)(1 + -1x) = 0

Multiply (-7 + 7x) * (1 + -1x)
(-7(1 + -1x) + 7x * (1 + -1x)) = 0
((1 * -7 + -1x * -7) + 7x * (1 + -1x)) = 0
((-7 + 7x) + 7x * (1 + -1x)) = 0
(-7 + 7x + (1 * 7x + -1x * 7x)) = 0
(-7 + 7x + (7x + -7x2)) = 0

Combine like terms: 7x + 7x = 14x
(-7 + 14x + -7x2) = 0

Solving
-7 + 14x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-1 + 2x + -1x2) = 0

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

Ignore the factor 7.
Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

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

Simplifying
x = 1
Subproblem 2
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
Solution
x = {1, 1}