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Simplifying 25(d4) + 20(c2) * d + 4 = 0 Multiply c2 * d 25d4 + 20c2d + 4 = 0 Reorder the terms: 4 + 20c2d + 25d4 = 0 Solving 4 + 20c2d + 25d4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 20c2d + -4 + 25d4 = 0 + -4 Reorder the terms: 4 + -4 + 20c2d + 25d4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 20c2d + 25d4 = 0 + -4 20c2d + 25d4 = 0 + -4 Combine like terms: 0 + -4 = -4 20c2d + 25d4 = -4 Add '-25d4' to each side of the equation. 20c2d + 25d4 + -25d4 = -4 + -25d4 Combine like terms: 25d4 + -25d4 = 0 20c2d + 0 = -4 + -25d4 20c2d = -4 + -25d4 Divide each side by '20d'. c2 = -0.2d-1 + -1.25d3 Simplifying c2 = -0.2d-1 + -1.25d3 Reorder the terms: c2 + 0.2d-1 + 1.25d3 = -0.2d-1 + 0.2d-1 + -1.25d3 + 1.25d3 Combine like terms: -0.2d-1 + 0.2d-1 = 0.0 c2 + 0.2d-1 + 1.25d3 = 0.0 + -1.25d3 + 1.25d3 c2 + 0.2d-1 + 1.25d3 = -1.25d3 + 1.25d3 Combine like terms: -1.25d3 + 1.25d3 = 0.00 c2 + 0.2d-1 + 1.25d3 = 0.00 Factor out the Greatest Common Factor (GCF), 'd-1'. d-1(c2d + 0.2 + 1.25d4) = 0.00Subproblem 1
Set the factor 'd-1' equal to zero and attempt to solve: Simplifying d-1 = 0 Solving d-1 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d-1' to each side of the equation. d-1 + -1d-1 = 0 + -1d-1 Remove the zero: 0 = -1d-1 Simplifying 0 = -1d-1 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 '(c2d + 0.2 + 1.25d4)' equal to zero and attempt to solve: Simplifying c2d + 0.2 + 1.25d4 = 0 Reorder the terms: 0.2 + c2d + 1.25d4 = 0 Solving 0.2 + c2d + 1.25d4 = 0 Move all terms containing c to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + c2d + -0.2 + 1.25d4 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + c2d + 1.25d4 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + c2d + 1.25d4 = 0 + -0.2 c2d + 1.25d4 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 c2d + 1.25d4 = -0.2 Add '-1.25d4' to each side of the equation. c2d + 1.25d4 + -1.25d4 = -0.2 + -1.25d4 Combine like terms: 1.25d4 + -1.25d4 = 0.00 c2d + 0.00 = -0.2 + -1.25d4 c2d = -0.2 + -1.25d4 Divide each side by 'd'. c2 = -0.2d-1 + -1.25d3 Simplifying c2 = -0.2d-1 + -1.25d3 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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