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Simplifying (r + 9)(r + -7) = 0 Reorder the terms: (9 + r)(r + -7) = 0 Reorder the terms: (9 + r)(-7 + r) = 0 Multiply (9 + r) * (-7 + r) (9(-7 + r) + r(-7 + r)) = 0 ((-7 * 9 + r * 9) + r(-7 + r)) = 0 ((-63 + 9r) + r(-7 + r)) = 0 (-63 + 9r + (-7 * r + r * r)) = 0 (-63 + 9r + (-7r + r2)) = 0 Combine like terms: 9r + -7r = 2r (-63 + 2r + r2) = 0 Solving -63 + 2r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-9 + -1r)(7 + -1r) = 0Subproblem 1
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 = -9Subproblem 2
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 = 7Solution
r = {-9, 7}
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