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Simplifying 5r2 + -32r = 21 Reorder the terms: -32r + 5r2 = 21 Solving -32r + 5r2 = 21 Solving for variable 'r'. Reorder the terms: -21 + -32r + 5r2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -32r + 5r2 = 0 Factor a trinomial. (-3 + -5r)(7 + -1r) = 0Subproblem 1
Set the factor '(-3 + -5r)' equal to zero and attempt to solve: Simplifying -3 + -5r = 0 Solving -3 + -5r = 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 + -5r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5r = 0 + 3 -5r = 0 + 3 Combine like terms: 0 + 3 = 3 -5r = 3 Divide each side by '-5'. r = -0.6 Simplifying r = -0.6Subproblem 2
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 = 7Solution
r = {-0.6, 7}
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