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Simplifying 16c16 + -81d4 = 0 Solving 16c16 + -81d4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '81d4' to each side of the equation. 16c16 + -81d4 + 81d4 = 0 + 81d4 Combine like terms: -81d4 + 81d4 = 0 16c16 + 0 = 0 + 81d4 16c16 = 0 + 81d4 Remove the zero: 16c16 = 81d4 Divide each side by '16'. c16 = 5.0625d4 Simplifying c16 = 5.0625d4 Combine like terms: 5.0625d4 + -5.0625d4 = 0.0000 c16 + -5.0625d4 = 0.0000 Factor a difference between two squares. (c8 + 2.25d2)(c8 + -2.25d2) = 0.0000 Factor a difference between two squares. (c8 + 2.25d2)((c4 + 1.5d)(c4 + -1.5d)) = 0.0000Subproblem 1
Set the factor '(c8 + 2.25d2)' equal to zero and attempt to solve: Simplifying c8 + 2.25d2 = 0 Solving c8 + 2.25d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2.25d2' to each side of the equation. c8 + 2.25d2 + -2.25d2 = 0 + -2.25d2 Combine like terms: 2.25d2 + -2.25d2 = 0.00 c8 + 0.00 = 0 + -2.25d2 c8 = 0 + -2.25d2 Remove the zero: c8 = -2.25d2 Simplifying c8 = -2.25d2 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 '(c4 + 1.5d)' equal to zero and attempt to solve: Simplifying c4 + 1.5d = 0 Solving c4 + 1.5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1.5d' to each side of the equation. c4 + 1.5d + -1.5d = 0 + -1.5d Combine like terms: 1.5d + -1.5d = 0.0 c4 + 0.0 = 0 + -1.5d c4 = 0 + -1.5d Remove the zero: c4 = -1.5d Simplifying c4 = -1.5d 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 '(c4 + -1.5d)' equal to zero and attempt to solve: Simplifying c4 + -1.5d = 0 Solving c4 + -1.5d = 0 Move all terms containing c to the left, all other terms to the right. Add '1.5d' to each side of the equation. c4 + -1.5d + 1.5d = 0 + 1.5d Combine like terms: -1.5d + 1.5d = 0.0 c4 + 0.0 = 0 + 1.5d c4 = 0 + 1.5d Remove the zero: c4 = 1.5d Simplifying c4 = 1.5d 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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