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Simplifying 5r2 = -32r + 21 Reorder the terms: 5r2 = 21 + -32r Solving 5r2 = 21 + -32r Solving for variable 'r'. Reorder the terms: -21 + 32r + 5r2 = 21 + -32r + -21 + 32r Reorder the terms: -21 + 32r + 5r2 = 21 + -21 + -32r + 32r Combine like terms: 21 + -21 = 0 -21 + 32r + 5r2 = 0 + -32r + 32r -21 + 32r + 5r2 = -32r + 32r Combine like terms: -32r + 32r = 0 -21 + 32r + 5r2 = 0 Factor a trinomial. (-7 + -1r)(3 + -5r) = 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 '(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 = 0.6Solution
r = {-7, 0.6}
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