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Simplifying (d3 + -6d2 + 13d) * y = 0 Reorder the terms: (13d + -6d2 + d3) * y = 0 Reorder the terms for easier multiplication: y(13d + -6d2 + d3) = 0 (13d * y + -6d2 * y + d3 * y) = 0 (13dy + -6d2y + d3y) = 0 Solving 13dy + -6d2y + d3y = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'dy'. dy(13 + -6d + d2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(13 + -6d + d2)' equal to zero and attempt to solve: Simplifying 13 + -6d + d2 = 0 Solving 13 + -6d + d2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -6d + -13 + d2 = 0 + -13 Reorder the terms: 13 + -13 + -6d + d2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6d + d2 = 0 + -13 -6d + d2 = 0 + -13 Combine like terms: 0 + -13 = -13 -6d + d2 = -13 The d term is -6d. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6d + 9 + d2 = -13 + 9 Reorder the terms: 9 + -6d + d2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + -6d + d2 = -4 Factor a perfect square on the left side: (d + -3)(d + -3) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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