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Simplifying x2 + 10x + 14x = 0 Reorder the terms: 10x + 14x + x2 = 0 Combine like terms: 10x + 14x = 24x 24x + x2 = 0 Solving 24x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24 + 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 '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {0, -24}
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