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Simplifying -1r2 + -4r + 60 = 0 Reorder the terms: 60 + -4r + -1r2 = 0 Solving 60 + -4r + -1r2 = 0 Solving for variable 'r'. Factor a trinomial. (6 + -1r)(10 + r) = 0Subproblem 1
Set the factor '(6 + -1r)' equal to zero and attempt to solve: Simplifying 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6Subproblem 2
Set the factor '(10 + r)' equal to zero and attempt to solve: Simplifying 10 + r = 0 Solving 10 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + r = 0 + -10 r = 0 + -10 Combine like terms: 0 + -10 = -10 r = -10 Simplifying r = -10Solution
r = {6, -10}
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