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Simplifying r2 + -15r + 64 = r Reorder the terms: 64 + -15r + r2 = r Solving 64 + -15r + r2 = r Solving for variable 'r'. Reorder the terms: 64 + -15r + -1r + r2 = r + -1r Combine like terms: -15r + -1r = -16r 64 + -16r + r2 = r + -1r Combine like terms: r + -1r = 0 64 + -16r + r2 = 0 Factor a trinomial. (8 + -1r)(8 + -1r) = 0Subproblem 1
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 = 8Subproblem 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 = {8, 8}
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