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Simplifying X2 + 21X + 10X = 0 Reorder the terms: 21X + 10X + X2 = 0 Combine like terms: 21X + 10X = 31X 31X + X2 = 0 Solving 31X + X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(31 + 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 '(31 + X)' equal to zero and attempt to solve: Simplifying 31 + X = 0 Solving 31 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + X = 0 + -31 Combine like terms: 31 + -31 = 0 0 + X = 0 + -31 X = 0 + -31 Combine like terms: 0 + -31 = -31 X = -31 Simplifying X = -31Solution
X = {0, -31}
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