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Simplifying x2 = 49x Solving x2 = 49x Solving for variable 'x'. Reorder the terms: -49x + x2 = 49x + -49x Combine like terms: 49x + -49x = 0 -49x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-49 + x) = 0Subproblem 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 '(-49 + x)' equal to zero and attempt to solve: Simplifying -49 + x = 0 Solving -49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + x = 0 + 49 x = 0 + 49 Combine like terms: 0 + 49 = 49 x = 49 Simplifying x = 49Solution
x = {0, 49}
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