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Simplifying 5r2 + 14r + 8 = 0 Reorder the terms: 8 + 14r + 5r2 = 0 Solving 8 + 14r + 5r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + r)(4 + 5r) = 0Subproblem 1
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Subproblem 2
Set the factor '(4 + 5r)' equal to zero and attempt to solve: Simplifying 4 + 5r = 0 Solving 4 + 5r = 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 + 5r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5r = 0 + -4 5r = 0 + -4 Combine like terms: 0 + -4 = -4 5r = -4 Divide each side by '5'. r = -0.8 Simplifying r = -0.8Solution
r = {-2, -0.8}
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