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Simplifying 2r2 + 392 = 56r Reorder the terms: 392 + 2r2 = 56r Solving 392 + 2r2 = 56r Solving for variable 'r'. Reorder the terms: 392 + -56r + 2r2 = 56r + -56r Combine like terms: 56r + -56r = 0 392 + -56r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(196 + -28r + r2) = 0 Factor a trinomial. 2((14 + -1r)(14 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -1r)' equal to zero and attempt to solve: Simplifying 14 + -1r = 0 Solving 14 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 0 + -14 -1r = 0 + -14 Combine like terms: 0 + -14 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14Subproblem 2
Set the factor '(14 + -1r)' equal to zero and attempt to solve: Simplifying 14 + -1r = 0 Solving 14 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 0 + -14 -1r = 0 + -14 Combine like terms: 0 + -14 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14Solution
r = {14, 14}
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