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Simplifying -14d2 + -1d + -49d3 = 0 Reorder the terms: -1d + -14d2 + -49d3 = 0 Solving -1d + -14d2 + -49d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-1d'. -1d(1 + 14d + 49d2) = 0 Factor a trinomial. -1d((1 + 7d)(1 + 7d)) = 0 Ignore the factor -1.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 '(1 + 7d)' equal to zero and attempt to solve: Simplifying 1 + 7d = 0 Solving 1 + 7d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = 0 + -1 7d = 0 + -1 Combine like terms: 0 + -1 = -1 7d = -1 Divide each side by '7'. d = -0.1428571429 Simplifying d = -0.1428571429Subproblem 3
Set the factor '(1 + 7d)' equal to zero and attempt to solve: Simplifying 1 + 7d = 0 Solving 1 + 7d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = 0 + -1 7d = 0 + -1 Combine like terms: 0 + -1 = -1 7d = -1 Divide each side by '7'. d = -0.1428571429 Simplifying d = -0.1428571429Solution
d = {0, -0.1428571429, -0.1428571429}
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