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Simplifying r2 = r + 56 Reorder the terms: r2 = 56 + r Solving r2 = 56 + r Solving for variable 'r'. Reorder the terms: -56 + -1r + r2 = 56 + r + -56 + -1r Reorder the terms: -56 + -1r + r2 = 56 + -56 + r + -1r Combine like terms: 56 + -56 = 0 -56 + -1r + r2 = 0 + r + -1r -56 + -1r + r2 = r + -1r Combine like terms: r + -1r = 0 -56 + -1r + r2 = 0 Factor a trinomial. (-7 + -1r)(8 + -1r) = 0Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve: Simplifying -7 + -1r = 0 Solving -7 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = 0 + 7 -1r = 0 + 7 Combine like terms: 0 + 7 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-7, 8}
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