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Simplifying x^{2}+ -7x = 0 Reorder the terms: -7x + x^{2}= 0 Solving -7x + x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + x) = 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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7## Solution

x = {0, 7}

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