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Simplifying x2 + 51x = 0 Reorder the terms: 51x + x2 = 0 Solving 51x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(51 + 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 '(51 + x)' equal to zero and attempt to solve: Simplifying 51 + x = 0 Solving 51 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + x = 0 + -51 x = 0 + -51 Combine like terms: 0 + -51 = -51 x = -51 Simplifying x = -51Solution
x = {0, -51}
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