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Simplifying r2 = 16r + -63 Reorder the terms: r2 = -63 + 16r Solving r2 = -63 + 16r Solving for variable 'r'. Reorder the terms: 63 + -16r + r2 = -63 + 16r + 63 + -16r Reorder the terms: 63 + -16r + r2 = -63 + 63 + 16r + -16r Combine like terms: -63 + 63 = 0 63 + -16r + r2 = 0 + 16r + -16r 63 + -16r + r2 = 16r + -16r Combine like terms: 16r + -16r = 0 63 + -16r + r2 = 0 Factor a trinomial. (7 + -1r)(9 + -1r) = 0Subproblem 1
Set the factor '(7 + -1r)' equal to zero and attempt to solve: Simplifying 7 + -1r = 0 Solving 7 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 0 + -7 -1r = 0 + -7 Combine like terms: 0 + -7 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {7, 9}
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