X(100-X)=0

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Solution for X(100-X)=0 equation:


Simplifying
X(100 + -1X) = 0
(100 * X + -1X * X) = 0
(100X + -1X2) = 0

Solving
100X + -1X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(100 + -1X) = 0

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 '(100 + -1X)' equal to zero and attempt to solve: Simplifying 100 + -1X = 0 Solving 100 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1X = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1X = 0 + -100 -1X = 0 + -100 Combine like terms: 0 + -100 = -100 -1X = -100 Divide each side by '-1'. X = 100 Simplifying X = 100

Solution

X = {0, 100}

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