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Simplifying 3r2 + 4r + -4 = -4 Reorder the terms: -4 + 4r + 3r2 = -4 Add '4' to each side of the equation. -4 + 4r + 4 + 3r2 = -4 + 4 Reorder the terms: -4 + 4 + 4r + 3r2 = -4 + 4 Combine like terms: -4 + 4 = 0 0 + 4r + 3r2 = -4 + 4 4r + 3r2 = -4 + 4 Combine like terms: -4 + 4 = 0 4r + 3r2 = 0 Solving 4r + 3r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(4 + 3r) = 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 + 3r)' equal to zero and attempt to solve: Simplifying 4 + 3r = 0 Solving 4 + 3r = 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 + 3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 0 + -4 3r = 0 + -4 Combine like terms: 0 + -4 = -4 3r = -4 Divide each side by '3'. r = -1.333333333 Simplifying r = -1.333333333Solution
r = {0, -1.333333333}
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