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Simplifying (8r + -1)(r + -7) = 0 Reorder the terms: (-1 + 8r)(r + -7) = 0 Reorder the terms: (-1 + 8r)(-7 + r) = 0 Multiply (-1 + 8r) * (-7 + r) (-1(-7 + r) + 8r * (-7 + r)) = 0 ((-7 * -1 + r * -1) + 8r * (-7 + r)) = 0 ((7 + -1r) + 8r * (-7 + r)) = 0 (7 + -1r + (-7 * 8r + r * 8r)) = 0 (7 + -1r + (-56r + 8r2)) = 0 Combine like terms: -1r + -56r = -57r (7 + -57r + 8r2) = 0 Solving 7 + -57r + 8r2 = 0 Solving for variable 'r'. Factor a trinomial. (1 + -8r)(7 + -1r) = 0Subproblem 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 '(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 = {0.125, 7}
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