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Simplifying x2 + 107x = 0 Reorder the terms: 107x + x2 = 0 Solving 107x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(107 + 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 '(107 + x)' equal to zero and attempt to solve: Simplifying 107 + x = 0 Solving 107 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -107 + x = 0 + -107 Combine like terms: 107 + -107 = 0 0 + x = 0 + -107 x = 0 + -107 Combine like terms: 0 + -107 = -107 x = -107 Simplifying x = -107Solution
x = {0, -107}
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