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Simplifying 16r2 + -15r = 99 Reorder the terms: -15r + 16r2 = 99 Solving -15r + 16r2 = 99 Solving for variable 'r'. Reorder the terms: -99 + -15r + 16r2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + -15r + 16r2 = 0 Factor a trinomial. (-33 + -16r)(3 + -1r) = 0Subproblem 1
Set the factor '(-33 + -16r)' equal to zero and attempt to solve: Simplifying -33 + -16r = 0 Solving -33 + -16r = 0 Move all terms containing r to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -16r = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -16r = 0 + 33 -16r = 0 + 33 Combine like terms: 0 + 33 = 33 -16r = 33 Divide each side by '-16'. r = -2.0625 Simplifying r = -2.0625Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {-2.0625, 3}
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