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Simplifying 5r(5r + -4) + 4 = 0 Reorder the terms: 5r(-4 + 5r) + 4 = 0 (-4 * 5r + 5r * 5r) + 4 = 0 (-20r + 25r2) + 4 = 0 Reorder the terms: 4 + -20r + 25r2 = 0 Solving 4 + -20r + 25r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + -5r)(2 + -5r) = 0Subproblem 1
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 = 0.4Subproblem 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 = {0.4, 0.4}
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