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Simplifying r2 = -16 + 8r Solving r2 = -16 + 8r Solving for variable 'r'. Reorder the terms: 16 + -8r + r2 = -16 + 8r + 16 + -8r Reorder the terms: 16 + -8r + r2 = -16 + 16 + 8r + -8r Combine like terms: -16 + 16 = 0 16 + -8r + r2 = 0 + 8r + -8r 16 + -8r + r2 = 8r + -8r Combine like terms: 8r + -8r = 0 16 + -8r + r2 = 0 Factor a trinomial. (4 + -1r)(4 + -1r) = 0Subproblem 1
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {4, 4}
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