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Simplifying 25d3 + -36d = 0 Reorder the terms: -36d + 25d3 = 0 Solving -36d + 25d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-36 + 25d2) = 0 Factor a difference between two squares. d((6 + 5d)(-6 + 5d)) = 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 '(6 + 5d)' equal to zero and attempt to solve: Simplifying 6 + 5d = 0 Solving 6 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5d = 0 + -6 5d = 0 + -6 Combine like terms: 0 + -6 = -6 5d = -6 Divide each side by '5'. d = -1.2 Simplifying d = -1.2Subproblem 3
Set the factor '(-6 + 5d)' equal to zero and attempt to solve: Simplifying -6 + 5d = 0 Solving -6 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5d = 0 + 6 5d = 0 + 6 Combine like terms: 0 + 6 = 6 5d = 6 Divide each side by '5'. d = 1.2 Simplifying d = 1.2Solution
d = {0, -1.2, 1.2}
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