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Simplifying 16r2 + -70r + 49 = 0 Reorder the terms: 49 + -70r + 16r2 = 0 Solving 49 + -70r + 16r2 = 0 Solving for variable 'r'. Factor a trinomial. (7 + -8r)(7 + -2r) = 0Subproblem 1
Set the factor '(7 + -8r)' equal to zero and attempt to solve: Simplifying 7 + -8r = 0 Solving 7 + -8r = 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 + -8r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8r = 0 + -7 -8r = 0 + -7 Combine like terms: 0 + -7 = -7 -8r = -7 Divide each side by '-8'. r = 0.875 Simplifying r = 0.875Subproblem 2
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 = 3.5Solution
r = {0.875, 3.5}
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