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Simplifying 14d2 = -49d Solving 14d2 = -49d Solving for variable 'd'. Reorder the terms: 49d + 14d2 = -49d + 49d Combine like terms: -49d + 49d = 0 49d + 14d2 = 0 Factor out the Greatest Common Factor (GCF), '7d'. 7d(7 + 2d) = 0 Ignore the factor 7.Subproblem 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 '(7 + 2d)' equal to zero and attempt to solve: Simplifying 7 + 2d = 0 Solving 7 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 0 + -7 2d = 0 + -7 Combine like terms: 0 + -7 = -7 2d = -7 Divide each side by '2'. d = -3.5 Simplifying d = -3.5Solution
d = {0, -3.5}
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