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Simplifying 7r2 + -2r + 4 = 4 Reorder the terms: 4 + -2r + 7r2 = 4 Add '-4' to each side of the equation. 4 + -2r + -4 + 7r2 = 4 + -4 Reorder the terms: 4 + -4 + -2r + 7r2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -2r + 7r2 = 4 + -4 -2r + 7r2 = 4 + -4 Combine like terms: 4 + -4 = 0 -2r + 7r2 = 0 Solving -2r + 7r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-2 + 7r) = 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 '(-2 + 7r)' equal to zero and attempt to solve: Simplifying -2 + 7r = 0 Solving -2 + 7r = 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 + 7r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7r = 0 + 2 7r = 0 + 2 Combine like terms: 0 + 2 = 2 7r = 2 Divide each side by '7'. r = 0.2857142857 Simplifying r = 0.2857142857Solution
r = {0, 0.2857142857}
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