(X*5)(x-4)=0

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Solution for (X*5)(x-4)=0 equation:


Simplifying
(X * 5)(x + -4) = 0

Reorder the terms for easier multiplication:
(5X)(x + -4) = 0

Remove parenthesis around (5X)
5X(x + -4) = 0

Reorder the terms:
5X(-4 + x) = 0
(-4 * 5X + x * 5X) = 0
(-20X + 5xX) = 0

Solving
-20X + 5xX = 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), '5X'.
5X(-4 + x) = 0

Ignore the factor 5.

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 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -1x 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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