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Simplifying 2r2 = -49 + 21r Solving 2r2 = -49 + 21r Solving for variable 'r'. Reorder the terms: 49 + -21r + 2r2 = -49 + 21r + 49 + -21r Reorder the terms: 49 + -21r + 2r2 = -49 + 49 + 21r + -21r Combine like terms: -49 + 49 = 0 49 + -21r + 2r2 = 0 + 21r + -21r 49 + -21r + 2r2 = 21r + -21r Combine like terms: 21r + -21r = 0 49 + -21r + 2r2 = 0 Factor a trinomial. (7 + -2r)(7 + -1r) = 0Subproblem 1
Set the factor '(7 + -2r)' equal to zero and attempt to solve: Simplifying 7 + -2r = 0 Solving 7 + -2r = 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 + -2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 0 + -7 -2r = 0 + -7 Combine like terms: 0 + -7 = -7 -2r = -7 Divide each side by '-2'. r = 3.5 Simplifying r = 3.5Subproblem 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 = {3.5, 7}
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