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Simplifying 16r2 + 32r + -105 = 0 Reorder the terms: -105 + 32r + 16r2 = 0 Solving -105 + 32r + 16r2 = 0 Solving for variable 'r'. Factor a trinomial. (-15 + -4r)(7 + -4r) = 0Subproblem 1
Set the factor '(-15 + -4r)' equal to zero and attempt to solve: Simplifying -15 + -4r = 0 Solving -15 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4r = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4r = 0 + 15 -4r = 0 + 15 Combine like terms: 0 + 15 = 15 -4r = 15 Divide each side by '-4'. r = -3.75 Simplifying r = -3.75Subproblem 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 = {-3.75, 1.75}
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