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Simplifying (r + 7)(r + -18) = 0 Reorder the terms: (7 + r)(r + -18) = 0 Reorder the terms: (7 + r)(-18 + r) = 0 Multiply (7 + r) * (-18 + r) (7(-18 + r) + r(-18 + r)) = 0 ((-18 * 7 + r * 7) + r(-18 + r)) = 0 ((-126 + 7r) + r(-18 + r)) = 0 (-126 + 7r + (-18 * r + r * r)) = 0 (-126 + 7r + (-18r + r2)) = 0 Combine like terms: 7r + -18r = -11r (-126 + -11r + r2) = 0 Solving -126 + -11r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -1r)(18 + -1r) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(18 + -1r)' equal to zero and attempt to solve: Simplifying 18 + -1r = 0 Solving 18 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1r = 0 + -18 -1r = 0 + -18 Combine like terms: 0 + -18 = -18 -1r = -18 Divide each side by '-1'. r = 18 Simplifying r = 18Solution
r = {-7, 18}
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