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Simplifying 16c8 + -49d4 = 0 Solving 16c8 + -49d4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '49d4' to each side of the equation. 16c8 + -49d4 + 49d4 = 0 + 49d4 Combine like terms: -49d4 + 49d4 = 0 16c8 + 0 = 0 + 49d4 16c8 = 0 + 49d4 Remove the zero: 16c8 = 49d4 Divide each side by '16'. c8 = 3.0625d4 Simplifying c8 = 3.0625d4 Combine like terms: 3.0625d4 + -3.0625d4 = 0.0000 c8 + -3.0625d4 = 0.0000 Factor a difference between two squares. (c4 + 1.75d2)(c4 + -1.75d2) = 0.0000Subproblem 1
Set the factor '(c4 + 1.75d2)' equal to zero and attempt to solve: Simplifying c4 + 1.75d2 = 0 Solving c4 + 1.75d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1.75d2' to each side of the equation. c4 + 1.75d2 + -1.75d2 = 0 + -1.75d2 Combine like terms: 1.75d2 + -1.75d2 = 0.00 c4 + 0.00 = 0 + -1.75d2 c4 = 0 + -1.75d2 Remove the zero: c4 = -1.75d2 Simplifying c4 = -1.75d2 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 + -1.75d2)' equal to zero and attempt to solve: Simplifying c4 + -1.75d2 = 0 Solving c4 + -1.75d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '1.75d2' to each side of the equation. c4 + -1.75d2 + 1.75d2 = 0 + 1.75d2 Combine like terms: -1.75d2 + 1.75d2 = 0.00 c4 + 0.00 = 0 + 1.75d2 c4 = 0 + 1.75d2 Remove the zero: c4 = 1.75d2 Simplifying c4 = 1.75d2 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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