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Simplifying r2 = -16 + -10r Solving r2 = -16 + -10r Solving for variable 'r'. Reorder the terms: 16 + 10r + r2 = -16 + -10r + 16 + 10r Reorder the terms: 16 + 10r + r2 = -16 + 16 + -10r + 10r Combine like terms: -16 + 16 = 0 16 + 10r + r2 = 0 + -10r + 10r 16 + 10r + r2 = -10r + 10r Combine like terms: -10r + 10r = 0 16 + 10r + r2 = 0 Factor a trinomial. (8 + r)(2 + 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 '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Solution
r = {-8, -2}
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