r^2144=4r^2

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Solution for r^2144=4r^2 equation:


Simplifying
r2144 = 4r2

Solving
r2144 = 4r2

Solving for variable 'r'.

Reorder the terms:
-4r2 + r2144 = 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
-4r2 + r2144 = 0

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(-4 + r2142) = 0

Factor a difference between two squares.
r2((2 + r1071)(-2 + r1071)) = 0

Subproblem 1

Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}

Subproblem 2

Set the factor '(2 + r1071)' equal to zero and attempt to solve: Simplifying 2 + r1071 = 0 Solving 2 + r1071 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r1071 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r1071 = 0 + -2 r1071 = 0 + -2 Combine like terms: 0 + -2 = -2 r1071 = -2 Simplifying r1071 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-2 + r1071)' equal to zero and attempt to solve: Simplifying -2 + r1071 = 0 Solving -2 + r1071 = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r1071 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r1071 = 0 + 2 r1071 = 0 + 2 Combine like terms: 0 + 2 = 2 r1071 = 2 Simplifying r1071 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

r = {0}

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