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Simplifying r2 + -12r = 28 Reorder the terms: -12r + r2 = 28 Solving -12r + r2 = 28 Solving for variable 'r'. Reorder the terms: -28 + -12r + r2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -12r + r2 = 0 Factor a trinomial. (-2 + -1r)(14 + -1r) = 0Subproblem 1
Set the factor '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 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 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2Subproblem 2
Set the factor '(14 + -1r)' equal to zero and attempt to solve: Simplifying 14 + -1r = 0 Solving 14 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 0 + -14 -1r = 0 + -14 Combine like terms: 0 + -14 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14Solution
r = {-2, 14}
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