(x-5)(x-5)*(-1)=

Solution for (x-5)(x-5)*(-1)= equation:

Simplifying
(x + -5)(x + -5)(-1) = 0

Reorder the terms:
(-5 + x)(x + -5)(-1) = 0

Reorder the terms:
(-5 + x)(-5 + x)(-1) = 0

Reorder the terms for easier multiplication:
-1(-5 + x)(-5 + x) = 0

Multiply (-5 + x) * (-5 + x)
-1(-5(-5 + x) + x(-5 + x)) = 0
-1((-5 * -5 + x * -5) + x(-5 + x)) = 0
-1((25 + -5x) + x(-5 + x)) = 0
-1(25 + -5x + (-5 * x + x * x)) = 0
-1(25 + -5x + (-5x + x2)) = 0

Combine like terms: -5x + -5x = -10x
-1(25 + -10x + x2) = 0
(25 * -1 + -10x * -1 + x2 * -1) = 0
(-25 + 10x + -1x2) = 0

Solving
-25 + 10x + -1x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

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

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

Simplifying
x = 5
Subproblem 2
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
Solution
x = {5, 5}