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Simplifying 7 = r(r + -6) Reorder the terms: 7 = r(-6 + r) 7 = (-6 * r + r * r) 7 = (-6r + r2) Solving 7 = -6r + r2 Solving for variable 'r'. Reorder the terms: 7 + 6r + -1r2 = -6r + 6r + r2 + -1r2 Combine like terms: -6r + 6r = 0 7 + 6r + -1r2 = 0 + r2 + -1r2 7 + 6r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 7 + 6r + -1r2 = 0 Factor a trinomial. (7 + -1r)(1 + r) = 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 '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {7, -1}
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