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Simplifying 22d4 + -94d3 + 24d2 = 0 Reorder the terms: 24d2 + -94d3 + 22d4 = 0 Solving 24d2 + -94d3 + 22d4 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2d2'. 2d2(12 + -47d + 11d2) = 0 Factor a trinomial. 2d2((3 + -11d)(4 + -1d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve: Simplifying d2 = 0 Solving d2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2 = 0 Take the square root of each side: d = {0}Subproblem 2
Set the factor '(3 + -11d)' equal to zero and attempt to solve: Simplifying 3 + -11d = 0 Solving 3 + -11d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -11d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11d = 0 + -3 -11d = 0 + -3 Combine like terms: 0 + -3 = -3 -11d = -3 Divide each side by '-11'. d = 0.2727272727 Simplifying d = 0.2727272727Subproblem 3
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {0, 0.2727272727, 4}
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