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Simplifying 4r2 + 9r = 28 Reorder the terms: 9r + 4r2 = 28 Solving 9r + 4r2 = 28 Solving for variable 'r'. Reorder the terms: -28 + 9r + 4r2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 9r + 4r2 = 0 Factor a trinomial. (-4 + -1r)(7 + -4r) = 0Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve: Simplifying -4 + -1r = 0 Solving -4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 0 + 4 -1r = 0 + 4 Combine like terms: 0 + 4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4Subproblem 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 = {-4, 1.75}
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