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Simplifying 6d2 + 25d = 0 Reorder the terms: 25d + 6d2 = 0 Solving 25d + 6d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(25 + 6d) = 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 '(25 + 6d)' equal to zero and attempt to solve: Simplifying 25 + 6d = 0 Solving 25 + 6d = 0 Move all terms containing d to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6d = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6d = 0 + -25 6d = 0 + -25 Combine like terms: 0 + -25 = -25 6d = -25 Divide each side by '6'. d = -4.166666667 Simplifying d = -4.166666667Solution
d = {0, -4.166666667}
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