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Simplifying r2 + -12r + 7 = -4 Reorder the terms: 7 + -12r + r2 = -4 Solving 7 + -12r + r2 = -4 Solving for variable 'r'. Reorder the terms: 7 + 4 + -12r + r2 = -4 + 4 Combine like terms: 7 + 4 = 11 11 + -12r + r2 = -4 + 4 Combine like terms: -4 + 4 = 0 11 + -12r + r2 = 0 Factor a trinomial. (1 + -1r)(11 + -1r) = 0Subproblem 1
Set the factor '(1 + -1r)' equal to zero and attempt to solve: Simplifying 1 + -1r = 0 Solving 1 + -1r = 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 + -1r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 0 + -1 -1r = 0 + -1 Combine like terms: 0 + -1 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1Subproblem 2
Set the factor '(11 + -1r)' equal to zero and attempt to solve: Simplifying 11 + -1r = 0 Solving 11 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 0 + -11 -1r = 0 + -11 Combine like terms: 0 + -11 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11Solution
r = {1, 11}
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