307.7514=3.14xr^2

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Solution for 307.7514=3.14xr^2 equation:


Simplifying
307.7514 = 3.14xr2

Solving
307.7514 = 3.14r2x

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-3.14r2x' to each side of the equation.
307.7514 + -3.14r2x = 3.14r2x + -3.14r2x

Combine like terms: 3.14r2x + -3.14r2x = 0.00
307.7514 + -3.14r2x = 0.00

Add '-307.7514' to each side of the equation.
307.7514 + -307.7514 + -3.14r2x = 0.00 + -307.7514

Combine like terms: 307.7514 + -307.7514 = 0.0000
0.0000 + -3.14r2x = 0.00 + -307.7514
-3.14r2x = 0.00 + -307.7514

Combine like terms: 0.00 + -307.7514 = -307.7514
-3.14r2x = -307.7514

Divide each side by '-3.14x'.
r2 = 98.01x-1

Simplifying
r2 = 98.01x-1

Combine like terms: 98.01x-1 + -98.01x-1 = 0.00
r2 + -98.01x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(r2x + -98.01) = 0.00

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(r2x + -98.01)' equal to zero and attempt to solve: Simplifying r2x + -98.01 = 0 Reorder the terms: -98.01 + r2x = 0 Solving -98.01 + r2x = 0 Move all terms containing r to the left, all other terms to the right. Add '98.01' to each side of the equation. -98.01 + 98.01 + r2x = 0 + 98.01 Combine like terms: -98.01 + 98.01 = 0.00 0.00 + r2x = 0 + 98.01 r2x = 0 + 98.01 Combine like terms: 0 + 98.01 = 98.01 r2x = 98.01 Divide each side by 'x'. r2 = 98.01x-1 Simplifying r2 = 98.01x-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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