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Simplifying 112d3 = 120d Solving 112d3 = 120d Solving for variable 'd'. Reorder the terms: -120d + 112d3 = 120d + -120d Combine like terms: 120d + -120d = 0 -120d + 112d3 = 0 Factor out the Greatest Common Factor (GCF), '8d'. 8d(-15 + 14d2) = 0 Ignore the factor 8.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 '(-15 + 14d2)' equal to zero and attempt to solve: Simplifying -15 + 14d2 = 0 Solving -15 + 14d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 14d2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 14d2 = 0 + 15 14d2 = 0 + 15 Combine like terms: 0 + 15 = 15 14d2 = 15 Divide each side by '14'. d2 = 1.071428571 Simplifying d2 = 1.071428571 Take the square root of each side: d = {-1.035098339, 1.035098339}Solution
d = {0, -1.035098339, 1.035098339}
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