1230=3.14r^2(2D)

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Solution for 1230=3.14r^2(2D) equation:


Simplifying
1230 = 3.14r2(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) = 0.0000000

Subproblem 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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