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Simplifying 7c4(4c6 + d4 + d2) = 0 Reorder the terms: 7c4(4c6 + d2 + d4) = 0 (4c6 * 7c4 + d2 * 7c4 + d4 * 7c4) = 0 Reorder the terms: (7c4d2 + 7c4d4 + 28c10) = 0 (7c4d2 + 7c4d4 + 28c10) = 0 Solving 7c4d2 + 7c4d4 + 28c10 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '7c4'. 7c4(d2 + d4 + 4c6) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'c4' equal to zero and attempt to solve: Simplifying c4 = 0 Solving c4 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c4 = 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 '(d2 + d4 + 4c6)' equal to zero and attempt to solve: Simplifying d2 + d4 + 4c6 = 0 Reorder the terms: 4c6 + d2 + d4 = 0 Solving 4c6 + d2 + d4 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d2' to each side of the equation. 4c6 + d2 + -1d2 + d4 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 4c6 + 0 + d4 = 0 + -1d2 4c6 + d4 = 0 + -1d2 Remove the zero: 4c6 + d4 = -1d2 Add '-1d4' to each side of the equation. 4c6 + d4 + -1d4 = -1d2 + -1d4 Combine like terms: d4 + -1d4 = 0 4c6 + 0 = -1d2 + -1d4 4c6 = -1d2 + -1d4 Divide each side by '4'. c6 = -0.25d2 + -0.25d4 Simplifying c6 = -0.25d2 + -0.25d4 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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