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Simplifying r2 + -10r + -35 = 4 Reorder the terms: -35 + -10r + r2 = 4 Solving -35 + -10r + r2 = 4 Solving for variable 'r'. Reorder the terms: -35 + -4 + -10r + r2 = 4 + -4 Combine like terms: -35 + -4 = -39 -39 + -10r + r2 = 4 + -4 Combine like terms: 4 + -4 = 0 -39 + -10r + r2 = 0 Factor a trinomial. (-3 + -1r)(13 + -1r) = 0Subproblem 1
Set the factor '(-3 + -1r)' equal to zero and attempt to solve: Simplifying -3 + -1r = 0 Solving -3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1r = 0 + 3 -1r = 0 + 3 Combine like terms: 0 + 3 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3Subproblem 2
Set the factor '(13 + -1r)' equal to zero and attempt to solve: Simplifying 13 + -1r = 0 Solving 13 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1r = 0 + -13 -1r = 0 + -13 Combine like terms: 0 + -13 = -13 -1r = -13 Divide each side by '-1'. r = 13 Simplifying r = 13Solution
r = {-3, 13}
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