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Simplifying 49d3 = 81d Solving 49d3 = 81d Solving for variable 'd'. Reorder the terms: -81d + 49d3 = 81d + -81d Combine like terms: 81d + -81d = 0 -81d + 49d3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-81 + 49d2) = 0 Factor a difference between two squares. d((9 + 7d)(-9 + 7d)) = 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 '(9 + 7d)' equal to zero and attempt to solve: Simplifying 9 + 7d = 0 Solving 9 + 7d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7d = 0 + -9 7d = 0 + -9 Combine like terms: 0 + -9 = -9 7d = -9 Divide each side by '7'. d = -1.285714286 Simplifying d = -1.285714286Subproblem 3
Set the factor '(-9 + 7d)' equal to zero and attempt to solve: Simplifying -9 + 7d = 0 Solving -9 + 7d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7d = 0 + 9 7d = 0 + 9 Combine like terms: 0 + 9 = 9 7d = 9 Divide each side by '7'. d = 1.285714286 Simplifying d = 1.285714286Solution
d = {0, -1.285714286, 1.285714286}
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