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Simplifying 9r2 + -2r + -5r = 0 Reorder the terms: -2r + -5r + 9r2 = 0 Combine like terms: -2r + -5r = -7r -7r + 9r2 = 0 Solving -7r + 9r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-7 + 9r) = 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 '(-7 + 9r)' equal to zero and attempt to solve: Simplifying -7 + 9r = 0 Solving -7 + 9r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9r = 0 + 7 9r = 0 + 7 Combine like terms: 0 + 7 = 7 9r = 7 Divide each side by '9'. r = 0.7777777778 Simplifying r = 0.7777777778Solution
r = {0, 0.7777777778}
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