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Simplifying 32r2 + 112r + 98 = 0 Reorder the terms: 98 + 112r + 32r2 = 0 Solving 98 + 112r + 32r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(49 + 56r + 16r2) = 0 Factor a trinomial. 2((7 + 4r)(7 + 4r)) = 0 Ignore the factor 2.Subproblem 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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