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Simplifying x2 + 9x + 14x = 0 Reorder the terms: 9x + 14x + x2 = 0 Combine like terms: 9x + 14x = 23x 23x + x2 = 0 Solving 23x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(23 + 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 '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23Solution
x = {0, -23}
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