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Simplifying 28 = r2 + 12r Reorder the terms: 28 = 12r + r2 Solving 28 = 12r + r2 Solving for variable 'r'. Reorder the terms: 28 + -12r + -1r2 = 12r + -12r + r2 + -1r2 Combine like terms: 12r + -12r = 0 28 + -12r + -1r2 = 0 + r2 + -1r2 28 + -12r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 28 + -12r + -1r2 = 0 Factor a trinomial. (2 + -1r)(14 + r) = 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 + r)' equal to zero and attempt to solve: Simplifying 14 + r = 0 Solving 14 + r = 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 + r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + r = 0 + -14 r = 0 + -14 Combine like terms: 0 + -14 = -14 r = -14 Simplifying r = -14Solution
r = {2, -14}
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