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Simplifying 64r2 + -328r + 36 = -4 Reorder the terms: 36 + -328r + 64r2 = -4 Solving 36 + -328r + 64r2 = -4 Solving for variable 'r'. Reorder the terms: 36 + 4 + -328r + 64r2 = -4 + 4 Combine like terms: 36 + 4 = 40 40 + -328r + 64r2 = -4 + 4 Combine like terms: -4 + 4 = 0 40 + -328r + 64r2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(5 + -41r + 8r2) = 0 Factor a trinomial. 8((1 + -8r)(5 + -1r)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -8r)' equal to zero and attempt to solve: Simplifying 1 + -8r = 0 Solving 1 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8r = 0 + -1 -8r = 0 + -1 Combine like terms: 0 + -1 = -1 -8r = -1 Divide each side by '-8'. r = 0.125 Simplifying r = 0.125Subproblem 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 = {0.125, 5}
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