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Simplifying 4r + -3r(2r + 5r) = 0 Combine like terms: 2r + 5r = 7r 4r + -3r(7r) = 0 Remove parenthesis around (7r) 4r + -3r * 7r = 0 Reorder the terms for easier multiplication: 4r + -3 * 7r * r = 0 Multiply -3 * 7 4r + -21r * r = 0 Multiply r * r 4r + -21r2 = 0 Solving 4r + -21r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(4 + -21r) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(4 + -21r)' equal to zero and attempt to solve: Simplifying 4 + -21r = 0 Solving 4 + -21r = 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 + -21r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -21r = 0 + -4 -21r = 0 + -4 Combine like terms: 0 + -4 = -4 -21r = -4 Divide each side by '-21'. r = 0.1904761905 Simplifying r = 0.1904761905Solution
r = {0, 0.1904761905}
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