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Simplifying -36d5f5 + -96d4f6 + -64d3f7 = 0 Reorder the terms: -64d3f7 + -96d4f6 + -36d5f5 = 0 Solving -64d3f7 + -96d4f6 + -36d5f5 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-4d3f5'. -4d3f5(16f2 + 24df + 9d2) = 0 Factor a trinomial. -4d3f5((4f + 3d)(4f + 3d)) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'd3f5' equal to zero and attempt to solve: Simplifying d3f5 = 0 Solving d3f5 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d3f5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4f + 3d)' equal to zero and attempt to solve: Simplifying 4f + 3d = 0 Reorder the terms: 3d + 4f = 0 Solving 3d + 4f = 0 Move all terms containing d to the left, all other terms to the right. Add '-4f' to each side of the equation. 3d + 4f + -4f = 0 + -4f Combine like terms: 4f + -4f = 0 3d + 0 = 0 + -4f 3d = 0 + -4f Remove the zero: 3d = -4f Divide each side by '3'. d = -1.333333333f Simplifying d = -1.333333333fSubproblem 3
Set the factor '(4f + 3d)' equal to zero and attempt to solve: Simplifying 4f + 3d = 0 Reorder the terms: 3d + 4f = 0 Solving 3d + 4f = 0 Move all terms containing d to the left, all other terms to the right. Add '-4f' to each side of the equation. 3d + 4f + -4f = 0 + -4f Combine like terms: 4f + -4f = 0 3d + 0 = 0 + -4f 3d = 0 + -4f Remove the zero: 3d = -4f Divide each side by '3'. d = -1.333333333f Simplifying d = -1.333333333fSolution
d = {-1.333333333f, -1.333333333f}
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