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Simplifying x2 + 81x = 0 Reorder the terms: 81x + x2 = 0 Solving 81x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(81 + 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 '(81 + x)' equal to zero and attempt to solve: Simplifying 81 + x = 0 Solving 81 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + x = 0 + -81 x = 0 + -81 Combine like terms: 0 + -81 = -81 x = -81 Simplifying x = -81Solution
x = {0, -81}
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