452.16=3.14*r^24

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Solution for 452.16=3.14*r^24 equation:


Simplifying
452.16 = 3.14r24

Solving
452.16 = 3.14r24

Solving for variable 'r'.

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

Add '-3.14r24' to each side of the equation.
452.16 + -3.14r24 = 3.14r24 + -3.14r24

Combine like terms: 3.14r24 + -3.14r24 = 0.00
452.16 + -3.14r24 = 0.00

Add '-452.16' to each side of the equation.
452.16 + -452.16 + -3.14r24 = 0.00 + -452.16

Combine like terms: 452.16 + -452.16 = 0.00
0.00 + -3.14r24 = 0.00 + -452.16
-3.14r24 = 0.00 + -452.16

Combine like terms: 0.00 + -452.16 = -452.16
-3.14r24 = -452.16

Divide each side by '-3.14'.
r24 = 144

Simplifying
r24 = 144

Reorder the terms:
-144 + r24 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + r24 = 0

Factor a difference between two squares.
(12 + r12)(-12 + r12) = 0

Subproblem 1

Set the factor '(12 + r12)' equal to zero and attempt to solve: Simplifying 12 + r12 = 0 Solving 12 + r12 = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + r12 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + r12 = 0 + -12 r12 = 0 + -12 Combine like terms: 0 + -12 = -12 r12 = -12 Simplifying r12 = -12 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 '(-12 + r12)' equal to zero and attempt to solve: Simplifying -12 + r12 = 0 Solving -12 + r12 = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + r12 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + r12 = 0 + 12 r12 = 0 + 12 Combine like terms: 0 + 12 = 12 r12 = 12 Simplifying r12 = 12 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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