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Simplifying 1230 = 3.14(r2)(2D) Remove parenthesis around (2D) 1230 = 3.14r2 * 2D Reorder the terms for easier multiplication: 1230 = 3.14 * 2r2 * D Multiply 3.14 * 2 1230 = 6.28r2 * D Multiply r2 * D 1230 = 6.28r2D Solving 1230 = 6.28r2D Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6.28r2D' to each side of the equation. 1230 + -6.28r2D = 6.28r2D + -6.28r2D Combine like terms: 6.28r2D + -6.28r2D = 0.00 1230 + -6.28r2D = 0.00 Add '-1230' to each side of the equation. 1230 + -1230 + -6.28r2D = 0.00 + -1230 Combine like terms: 1230 + -1230 = 0 0 + -6.28r2D = 0.00 + -1230 -6.28r2D = 0.00 + -1230 Combine like terms: 0.00 + -1230 = -1230 -6.28r2D = -1230 Divide each side by '-6.28D'. r2 = 195.8598726D-1 Simplifying r2 = 195.8598726D-1 Reorder the terms: -195.8598726D-1 + r2 = 195.8598726D-1 + -195.8598726D-1 Combine like terms: 195.8598726D-1 + -195.8598726D-1 = 0.0000000 -195.8598726D-1 + r2 = 0.0000000 Factor out the Greatest Common Factor (GCF), 'D-1'. D-1(-195.8598726 + r2D) = 0.0000000Subproblem 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 r 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 '(-195.8598726 + r2D)' equal to zero and attempt to solve: Simplifying -195.8598726 + r2D = 0 Solving -195.8598726 + r2D = 0 Move all terms containing r to the left, all other terms to the right. Add '195.8598726' to each side of the equation. -195.8598726 + 195.8598726 + r2D = 0 + 195.8598726 Combine like terms: -195.8598726 + 195.8598726 = 0.0000000 0.0000000 + r2D = 0 + 195.8598726 r2D = 0 + 195.8598726 Combine like terms: 0 + 195.8598726 = 195.8598726 r2D = 195.8598726 Divide each side by 'D'. r2 = 195.8598726D-1 Simplifying r2 = 195.8598726D-1 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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