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Simplifying (r + 8)(r + 8) = 0 Reorder the terms: (8 + r)(r + 8) = 0 Reorder the terms: (8 + r)(8 + r) = 0 Multiply (8 + r) * (8 + r) (8(8 + r) + r(8 + r)) = 0 ((8 * 8 + r * 8) + r(8 + r)) = 0 ((64 + 8r) + r(8 + r)) = 0 (64 + 8r + (8 * r + r * r)) = 0 (64 + 8r + (8r + r2)) = 0 Combine like terms: 8r + 8r = 16r (64 + 16r + r2) = 0 Solving 64 + 16r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + r)(8 + r) = 0Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 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 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 2
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 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 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Solution
r = {-8, -8}
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