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Simplifying r2 = 28 + -3r Solving r2 = 28 + -3r Solving for variable 'r'. Reorder the terms: -28 + 3r + r2 = 28 + -3r + -28 + 3r Reorder the terms: -28 + 3r + r2 = 28 + -28 + -3r + 3r Combine like terms: 28 + -28 = 0 -28 + 3r + r2 = 0 + -3r + 3r -28 + 3r + r2 = -3r + 3r Combine like terms: -3r + 3r = 0 -28 + 3r + r2 = 0 Factor a trinomial. (-7 + -1r)(4 + -1r) = 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 '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-7, 4}
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