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Simplifying 25r2 + 50r + -24 = 0 Reorder the terms: -24 + 50r + 25r2 = 0 Solving -24 + 50r + 25r2 = 0 Solving for variable 'r'. Factor a trinomial. (-12 + -5r)(2 + -5r) = 0Subproblem 1
Set the factor '(-12 + -5r)' equal to zero and attempt to solve: Simplifying -12 + -5r = 0 Solving -12 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5r = 0 + 12 -5r = 0 + 12 Combine like terms: 0 + 12 = 12 -5r = 12 Divide each side by '-5'. r = -2.4 Simplifying r = -2.4Subproblem 2
Set the factor '(2 + -5r)' equal to zero and attempt to solve: Simplifying 2 + -5r = 0 Solving 2 + -5r = 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 + -5r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5r = 0 + -2 -5r = 0 + -2 Combine like terms: 0 + -2 = -2 -5r = -2 Divide each side by '-5'. r = 0.4 Simplifying r = 0.4Solution
r = {-2.4, 0.4}
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