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Simplifying 2r2 + -18r2 + 28r = 0 Reorder the terms: 28r + 2r2 + -18r2 = 0 Combine like terms: 2r2 + -18r2 = -16r2 28r + -16r2 = 0 Solving 28r + -16r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(7 + -4r) = 0 Ignore the factor 4.Subproblem 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 + -4r)' equal to zero and attempt to solve: Simplifying 7 + -4r = 0 Solving 7 + -4r = 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 + -4r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = 0 + -7 -4r = 0 + -7 Combine like terms: 0 + -7 = -7 -4r = -7 Divide each side by '-4'. r = 1.75 Simplifying r = 1.75Solution
r = {0, 1.75}
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