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Simplifying 8r2 + -35r + -25 = 0 Reorder the terms: -25 + -35r + 8r2 = 0 Solving -25 + -35r + 8r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -8r)(5 + -1r) = 0Subproblem 1
Set the factor '(-5 + -8r)' equal to zero and attempt to solve: Simplifying -5 + -8r = 0 Solving -5 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8r = 0 + 5 -8r = 0 + 5 Combine like terms: 0 + 5 = 5 -8r = 5 Divide each side by '-8'. r = -0.625 Simplifying r = -0.625Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Solution
r = {-0.625, 5}
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