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Simplifying (5r + -8)(5r + -8) = 0 Reorder the terms: (-8 + 5r)(5r + -8) = 0 Reorder the terms: (-8 + 5r)(-8 + 5r) = 0 Multiply (-8 + 5r) * (-8 + 5r) (-8(-8 + 5r) + 5r * (-8 + 5r)) = 0 ((-8 * -8 + 5r * -8) + 5r * (-8 + 5r)) = 0 ((64 + -40r) + 5r * (-8 + 5r)) = 0 (64 + -40r + (-8 * 5r + 5r * 5r)) = 0 (64 + -40r + (-40r + 25r2)) = 0 Combine like terms: -40r + -40r = -80r (64 + -80r + 25r2) = 0 Solving 64 + -80r + 25r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + -5r)(8 + -5r) = 0Subproblem 1
Set the factor '(8 + -5r)' equal to zero and attempt to solve: Simplifying 8 + -5r = 0 Solving 8 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5r = 0 + -8 -5r = 0 + -8 Combine like terms: 0 + -8 = -8 -5r = -8 Divide each side by '-5'. r = 1.6 Simplifying r = 1.6Subproblem 2
Set the factor '(8 + -5r)' equal to zero and attempt to solve: Simplifying 8 + -5r = 0 Solving 8 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5r = 0 + -8 -5r = 0 + -8 Combine like terms: 0 + -8 = -8 -5r = -8 Divide each side by '-5'. r = 1.6 Simplifying r = 1.6Solution
r = {1.6, 1.6}
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