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Simplifying 0 = 16r2 + -56r + 49 Reorder the terms: 0 = 49 + -56r + 16r2 Solving 0 = 49 + -56r + 16r2 Solving for variable 'r'. Combine like terms: 0 + -49 = -49 -49 + 56r + -16r2 = 49 + -56r + 16r2 + -49 + 56r + -16r2 Reorder the terms: -49 + 56r + -16r2 = 49 + -49 + -56r + 56r + 16r2 + -16r2 Combine like terms: 49 + -49 = 0 -49 + 56r + -16r2 = 0 + -56r + 56r + 16r2 + -16r2 -49 + 56r + -16r2 = -56r + 56r + 16r2 + -16r2 Combine like terms: -56r + 56r = 0 -49 + 56r + -16r2 = 0 + 16r2 + -16r2 -49 + 56r + -16r2 = 16r2 + -16r2 Combine like terms: 16r2 + -16r2 = 0 -49 + 56r + -16r2 = 0 Factor a trinomial. (-7 + 4r)(7 + -4r) = 0Subproblem 1
Set the factor '(-7 + 4r)' equal to zero and attempt to solve: Simplifying -7 + 4r = 0 Solving -7 + 4r = 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 + 4r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4r = 0 + 7 4r = 0 + 7 Combine like terms: 0 + 7 = 7 4r = 7 Divide each side by '4'. r = 1.75 Simplifying r = 1.75Subproblem 2
Set the factor '(7 + -4r)' equal to zero and attempt to solve: Simplifying 7 + -4r = 0 Solving 7 + -4r = 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 + -4r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = 0 + -7 -4r = 0 + -7 Combine like terms: 0 + -7 = -7 -4r = -7 Divide each side by '-4'. r = 1.75 Simplifying r = 1.75Solution
r = {1.75, 1.75}
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