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Simplifying r2 + 2r + -528 = 0 Reorder the terms: -528 + 2r + r2 = 0 Solving -528 + 2r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-24 + -1r)(22 + -1r) = 0Subproblem 1
Set the factor '(-24 + -1r)' equal to zero and attempt to solve: Simplifying -24 + -1r = 0 Solving -24 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1r = 0 + 24 -1r = 0 + 24 Combine like terms: 0 + 24 = 24 -1r = 24 Divide each side by '-1'. r = -24 Simplifying r = -24Subproblem 2
Set the factor '(22 + -1r)' equal to zero and attempt to solve: Simplifying 22 + -1r = 0 Solving 22 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1r = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1r = 0 + -22 -1r = 0 + -22 Combine like terms: 0 + -22 = -22 -1r = -22 Divide each side by '-1'. r = 22 Simplifying r = 22Solution
r = {-24, 22}
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