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Simplifying 25d3 + -1d = 0 Reorder the terms: -1d + 25d3 = 0 Solving -1d + 25d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-1 + 25d2) = 0 Factor a difference between two squares. d((1 + 5d)(-1 + 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 '(1 + 5d)' equal to zero and attempt to solve: Simplifying 1 + 5d = 0 Solving 1 + 5d = 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 + 5d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5d = 0 + -1 5d = 0 + -1 Combine like terms: 0 + -1 = -1 5d = -1 Divide each side by '5'. d = -0.2 Simplifying d = -0.2Subproblem 3
Set the factor '(-1 + 5d)' equal to zero and attempt to solve: Simplifying -1 + 5d = 0 Solving -1 + 5d = 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 + 5d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5d = 0 + 1 5d = 0 + 1 Combine like terms: 0 + 1 = 1 5d = 1 Divide each side by '5'. d = 0.2 Simplifying d = 0.2Solution
d = {0, -0.2, 0.2}
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