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Simplifying 64r2 + 128r + -57 = 0 Reorder the terms: -57 + 128r + 64r2 = 0 Solving -57 + 128r + 64r2 = 0 Solving for variable 'r'. Factor a trinomial. (-19 + -8r)(3 + -8r) = 0Subproblem 1
Set the factor '(-19 + -8r)' equal to zero and attempt to solve: Simplifying -19 + -8r = 0 Solving -19 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -8r = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -8r = 0 + 19 -8r = 0 + 19 Combine like terms: 0 + 19 = 19 -8r = 19 Divide each side by '-8'. r = -2.375 Simplifying r = -2.375Subproblem 2
Set the factor '(3 + -8r)' equal to zero and attempt to solve: Simplifying 3 + -8r = 0 Solving 3 + -8r = 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 + -8r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8r = 0 + -3 -8r = 0 + -3 Combine like terms: 0 + -3 = -3 -8r = -3 Divide each side by '-8'. r = 0.375 Simplifying r = 0.375Solution
r = {-2.375, 0.375}
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