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Simplifying 1 = r12 Solving 1 = r12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r12' to each side of the equation. 1 + -1r12 = r12 + -1r12 Combine like terms: r12 + -1r12 = 0 1 + -1r12 = 0 Add '-1' to each side of the equation. 1 + -1 + -1r12 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r12 = 0 + -1 -1r12 = 0 + -1 Combine like terms: 0 + -1 = -1 -1r12 = -1 Divide each side by '-1'. r12 = 1 Simplifying r12 = 1 Reorder the terms: -1 + r12 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + r12 = 0 Factor a difference between two squares. (1 + r6)(-1 + r6) = 0 Factor a difference between two squares. (1 + r6)((1 + r3)(-1 + r3)) = 0Subproblem 1
Set the factor '(1 + r6)' equal to zero and attempt to solve: Simplifying 1 + r6 = 0 Solving 1 + r6 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r6 = 0 + -1 r6 = 0 + -1 Combine like terms: 0 + -1 = -1 r6 = -1 Simplifying r6 = -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 '(1 + r3)' equal to zero and attempt to solve: Simplifying 1 + r3 = 0 Solving 1 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r3 = 0 + -1 r3 = 0 + -1 Combine like terms: 0 + -1 = -1 r3 = -1 Simplifying r3 = -1 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 '(-1 + r3)' equal to zero and attempt to solve: Simplifying -1 + r3 = 0 Solving -1 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + r3 = 0 + 1 r3 = 0 + 1 Combine like terms: 0 + 1 = 1 r3 = 1 Simplifying r3 = 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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