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Simplifying 4r2 + -27r + -7 = 0 Reorder the terms: -7 + -27r + 4r2 = 0 Solving -7 + -27r + 4r2 = 0 Solving for variable 'r'. Factor a trinomial. (-1 + -4r)(7 + -1r) = 0Subproblem 1
Set the factor '(-1 + -4r)' equal to zero and attempt to solve: Simplifying -1 + -4r = 0 Solving -1 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = 0 + 1 -4r = 0 + 1 Combine like terms: 0 + 1 = 1 -4r = 1 Divide each side by '-4'. r = -0.25 Simplifying r = -0.25Subproblem 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 = {-0.25, 7}
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