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Simplifying 3r2 + -7r + -21r + 49 = 0 Reorder the terms: 49 + -7r + -21r + 3r2 = 0 Combine like terms: -7r + -21r = -28r 49 + -28r + 3r2 = 0 Solving 49 + -28r + 3r2 = 0 Solving for variable 'r'. Factor a trinomial. (7 + -3r)(7 + -1r) = 0Subproblem 1
Set the factor '(7 + -3r)' equal to zero and attempt to solve: Simplifying 7 + -3r = 0 Solving 7 + -3r = 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 + -3r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 0 + -7 -3r = 0 + -7 Combine like terms: 0 + -7 = -7 -3r = -7 Divide each side by '-3'. r = 2.333333333 Simplifying r = 2.333333333Subproblem 2
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 = 7Solution
r = {2.333333333, 7}
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