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Simplifying -2r(-4s + r + -8) = 0 Reorder the terms: -2r(-8 + r + -4s) = 0 (-8 * -2r + r * -2r + -4s * -2r) = 0 Reorder the terms: (16r + 8rs + -2r2) = 0 (16r + 8rs + -2r2) = 0 Solving 16r + 8rs + -2r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(8 + 4s + -1r) = 0 Ignore the factor 2.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 '(8 + 4s + -1r)' equal to zero and attempt to solve: Simplifying 8 + 4s + -1r = 0 Reorder the terms: 8 + -1r + 4s = 0 Solving 8 + -1r + 4s = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1r + -8 + 4s = 0 + -8 Reorder the terms: 8 + -8 + -1r + 4s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r + 4s = 0 + -8 -1r + 4s = 0 + -8 Combine like terms: 0 + -8 = -8 -1r + 4s = -8 Add '-4s' to each side of the equation. -1r + 4s + -4s = -8 + -4s Combine like terms: 4s + -4s = 0 -1r + 0 = -8 + -4s -1r = -8 + -4s Divide each side by '-1'. r = 8 + 4s Simplifying r = 8 + 4sSolution
r = {0, 8 + 4s}
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