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Simplifying 4t2r + -10tr + 12r = 0 Reorder the terms: 12r + -10rt + 4rt2 = 0 Solving 12r + -10rt + 4rt2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2r'. 2r(6 + -5t + 2t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(6 + -5t + 2t2)' equal to zero and attempt to solve: Simplifying 6 + -5t + 2t2 = 0 Solving 6 + -5t + 2t2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -5t + -6 + 2t2 = 0 + -6 Reorder the terms: 6 + -6 + -5t + 2t2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5t + 2t2 = 0 + -6 -5t + 2t2 = 0 + -6 Combine like terms: 0 + -6 = -6 -5t + 2t2 = -6 Add '5t' to each side of the equation. -5t + 5t + 2t2 = -6 + 5t Combine like terms: -5t + 5t = 0 0 + 2t2 = -6 + 5t 2t2 = -6 + 5t Add '-2t2' to each side of the equation. 2t2 + -2t2 = -6 + 5t + -2t2 Combine like terms: 2t2 + -2t2 = 0 0 = -6 + 5t + -2t2 Simplifying 0 = -6 + 5t + -2t2 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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