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Simplifying (r + 7)(r + 2) = 0 Reorder the terms: (7 + r)(r + 2) = 0 Reorder the terms: (7 + r)(2 + r) = 0 Multiply (7 + r) * (2 + r) (7(2 + r) + r(2 + r)) = 0 ((2 * 7 + r * 7) + r(2 + r)) = 0 ((14 + 7r) + r(2 + r)) = 0 (14 + 7r + (2 * r + r * r)) = 0 (14 + 7r + (2r + r2)) = 0 Combine like terms: 7r + 2r = 9r (14 + 9r + r2) = 0 Solving 14 + 9r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (7 + r)(2 + r) = 0Subproblem 1
Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 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 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 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 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Solution
r = {-7, -2}
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