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