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Simplifying 18 = r(r + -7) Reorder the terms: 18 = r(-7 + r) 18 = (-7 * r + r * r) 18 = (-7r + r2) Solving 18 = -7r + r2 Solving for variable 'r'. Reorder the terms: 18 + 7r + -1r2 = -7r + 7r + r2 + -1r2 Combine like terms: -7r + 7r = 0 18 + 7r + -1r2 = 0 + r2 + -1r2 18 + 7r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 18 + 7r + -1r2 = 0 Factor a trinomial. (9 + -1r)(2 + r) = 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 '(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 = {9, -2}
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