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Simplifying 5r2 + 27r + 30 = 2 Reorder the terms: 30 + 27r + 5r2 = 2 Solving 30 + 27r + 5r2 = 2 Solving for variable 'r'. Reorder the terms: 30 + -2 + 27r + 5r2 = 2 + -2 Combine like terms: 30 + -2 = 28 28 + 27r + 5r2 = 2 + -2 Combine like terms: 2 + -2 = 0 28 + 27r + 5r2 = 0 Factor a trinomial. (4 + r)(7 + 5r) = 0Subproblem 1
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 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 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Subproblem 2
Set the factor '(7 + 5r)' equal to zero and attempt to solve: Simplifying 7 + 5r = 0 Solving 7 + 5r = 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 + 5r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5r = 0 + -7 5r = 0 + -7 Combine like terms: 0 + -7 = -7 5r = -7 Divide each side by '5'. r = -1.4 Simplifying r = -1.4Solution
r = {-4, -1.4}
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