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Simplifying (D6 + 5D5 + 6D4) * x = 0 Reorder the terms: (6D4 + 5D5 + D6) * x = 0 Reorder the terms for easier multiplication: x(6D4 + 5D5 + D6) = 0 (6D4 * x + 5D5 * x + D6 * x) = 0 (6xD4 + 5xD5 + xD6) = 0 Solving 6xD4 + 5xD5 + xD6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'xD4'. xD4(6 + 5D + D2) = 0 Factor a trinomial. xD4((3 + D)(2 + D)) = 0Subproblem 1
Set the factor 'xD4' equal to zero and attempt to solve: Simplifying xD4 = 0 Solving xD4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xD4 = 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 '(3 + D)' equal to zero and attempt to solve: Simplifying 3 + D = 0 Solving 3 + D = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + D = 0 + -3 Combine like terms: 3 + -3 = 0 0 + D = 0 + -3 D = 0 + -3 Combine like terms: 0 + -3 = -3 D = -3 Add '-1D' to each side of the equation. D + -1D = -3 + -1D Combine like terms: D + -1D = 0 0 = -3 + -1D Simplifying 0 = -3 + -1D The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + D)' equal to zero and attempt to solve: Simplifying 2 + D = 0 Solving 2 + D = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + D = 0 + -2 D = 0 + -2 Combine like terms: 0 + -2 = -2 D = -2 Add '-1D' to each side of the equation. D + -1D = -2 + -1D Combine like terms: D + -1D = 0 0 = -2 + -1D Simplifying 0 = -2 + -1D 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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