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Simplifying 14d2 = -27d Solving 14d2 = -27d Solving for variable 'd'. Reorder the terms: 27d + 14d2 = -27d + 27d Combine like terms: -27d + 27d = 0 27d + 14d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(27 + 14d) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(27 + 14d)' equal to zero and attempt to solve: Simplifying 27 + 14d = 0 Solving 27 + 14d = 0 Move all terms containing d to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 14d = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 14d = 0 + -27 14d = 0 + -27 Combine like terms: 0 + -27 = -27 14d = -27 Divide each side by '14'. d = -1.928571429 Simplifying d = -1.928571429Solution
d = {0, -1.928571429}
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