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Simplifying 2x2 = 100x Solving 2x2 = 100x Solving for variable 'x'. Reorder the terms: -100x + 2x2 = 100x + -100x Combine like terms: 100x + -100x = 0 -100x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-50 + x) = 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 = 0Subproblem 2
Set the factor '(-50 + x)' equal to zero and attempt to solve: Simplifying -50 + x = 0 Solving -50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + x = 0 + 50 x = 0 + 50 Combine like terms: 0 + 50 = 50 x = 50 Simplifying x = 50Solution
x = {0, 50}
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