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Simplifying 125r2 + -50r + 5 = 0 Reorder the terms: 5 + -50r + 125r2 = 0 Solving 5 + -50r + 125r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5'. 5(1 + -10r + 25r2) = 0 Factor a trinomial. 5((1 + -5r)(1 + -5r)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -5r)' equal to zero and attempt to solve: Simplifying 1 + -5r = 0 Solving 1 + -5r = 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 + -5r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5r = 0 + -1 -5r = 0 + -1 Combine like terms: 0 + -1 = -1 -5r = -1 Divide each side by '-5'. r = 0.2 Simplifying r = 0.2Subproblem 2
Set the factor '(1 + -5r)' equal to zero and attempt to solve: Simplifying 1 + -5r = 0 Solving 1 + -5r = 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 + -5r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5r = 0 + -1 -5r = 0 + -1 Combine like terms: 0 + -1 = -1 -5r = -1 Divide each side by '-5'. r = 0.2 Simplifying r = 0.2Solution
r = {0.2, 0.2}
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