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Simplifying (r + -8)(r + -2) = 0 Reorder the terms: (-8 + r)(r + -2) = 0 Reorder the terms: (-8 + r)(-2 + r) = 0 Multiply (-8 + r) * (-2 + r) (-8(-2 + r) + r(-2 + r)) = 0 ((-2 * -8 + r * -8) + r(-2 + r)) = 0 ((16 + -8r) + r(-2 + r)) = 0 (16 + -8r + (-2 * r + r * r)) = 0 (16 + -8r + (-2r + r2)) = 0 Combine like terms: -8r + -2r = -10r (16 + -10r + r2) = 0 Solving 16 + -10r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + -1r)(8 + -1r) = 0Subproblem 1
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Subproblem 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 = {2, 8}
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