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Simplifying x2 + 40x = 0 Reorder the terms: 40x + x2 = 0 Solving 40x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(40 + 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 '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {0, -40}
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