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Simplifying r(r + 4) + -96 = 0 Reorder the terms: r(4 + r) + -96 = 0 (4 * r + r * r) + -96 = 0 (4r + r2) + -96 = 0 Reorder the terms: -96 + 4r + r2 = 0 Solving -96 + 4r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-12 + -1r)(8 + -1r) = 0Subproblem 1
Set the factor '(-12 + -1r)' equal to zero and attempt to solve: Simplifying -12 + -1r = 0 Solving -12 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = 0 + 12 -1r = 0 + 12 Combine like terms: 0 + 12 = 12 -1r = 12 Divide each side by '-1'. r = -12 Simplifying r = -12Subproblem 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 = {-12, 8}
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