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Simplifying (r + 10)(r + -8) = 0 Reorder the terms: (10 + r)(r + -8) = 0 Reorder the terms: (10 + r)(-8 + r) = 0 Multiply (10 + r) * (-8 + r) (10(-8 + r) + r(-8 + r)) = 0 ((-8 * 10 + r * 10) + r(-8 + r)) = 0 ((-80 + 10r) + r(-8 + r)) = 0 (-80 + 10r + (-8 * r + r * r)) = 0 (-80 + 10r + (-8r + r2)) = 0 Combine like terms: 10r + -8r = 2r (-80 + 2r + r2) = 0 Solving -80 + 2r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -1r)(8 + -1r) = 0Subproblem 1
Set the factor '(-10 + -1r)' equal to zero and attempt to solve: Simplifying -10 + -1r = 0 Solving -10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = 0 + 10 -1r = 0 + 10 Combine like terms: 0 + 10 = 10 -1r = 10 Divide each side by '-1'. r = -10 Simplifying r = -10Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 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 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-10, 8}
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