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Simplifying x2 + 14x = -14x Reorder the terms: 14x + x2 = -14x Solving 14x + x2 = -14x Solving for variable 'x'. Reorder the terms: 14x + 14x + x2 = -14x + 14x Combine like terms: 14x + 14x = 28x 28x + x2 = -14x + 14x Combine like terms: -14x + 14x = 0 28x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(28 + 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 '(28 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28Solution
x = {0, -28}
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