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Simplifying (r + 8)(r + -9) = 0 Reorder the terms: (8 + r)(r + -9) = 0 Reorder the terms: (8 + r)(-9 + r) = 0 Multiply (8 + r) * (-9 + r) (8(-9 + r) + r(-9 + r)) = 0 ((-9 * 8 + r * 8) + r(-9 + r)) = 0 ((-72 + 8r) + r(-9 + r)) = 0 (-72 + 8r + (-9 * r + r * r)) = 0 (-72 + 8r + (-9r + r2)) = 0 Combine like terms: 8r + -9r = -1r (-72 + -1r + r2) = 0 Solving -72 + -1r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -1r)(9 + -1r) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {-8, 9}
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