(X-5)x(2X-8)=

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Solution for (X-5)x(2X-8)= equation: 


Simplifying
(X + -5) * x(2X + -8) = 0

Reorder the terms:
(-5 + X) * x(2X + -8) = 0

Reorder the terms:
(-5 + X) * x(-8 + 2X) = 0

Reorder the terms for easier multiplication:
x(-5 + X)(-8 + 2X) = 0

Multiply (-5 + X) * (-8 + 2X)
x(-5(-8 + 2X) + X(-8 + 2X)) = 0
x((-8 * -5 + 2X * -5) + X(-8 + 2X)) = 0
x((40 + -10X) + X(-8 + 2X)) = 0
x(40 + -10X + (-8 * X + 2X * X)) = 0
x(40 + -10X + (-8X + 2X2)) = 0

Combine like terms: -10X + -8X = -18X
x(40 + -18X + 2X2) = 0
(40 * x + -18X * x + 2X2 * x) = 0
(40x + -18xX + 2xX2) = 0

Solving
40x + -18xX + 2xX2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(20 + -9X + X2) = 0

Factor a trinomial.
2x((4 + -1X)(5 + -1X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Add 'X' to each side of the equation.
-1X + X = -4 + X

Combine like terms: -1X + X = 0
0 = -4 + X

Simplifying
0 = -4 + X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
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

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

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

Simplifying
0 = -5 + X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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