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Simplifying 12r + 3r2 = r2 + -4r Reorder the terms: 12r + 3r2 = -4r + r2 Solving 12r + 3r2 = -4r + r2 Solving for variable 'r'. Reorder the terms: 12r + 4r + 3r2 + -1r2 = -4r + r2 + 4r + -1r2 Combine like terms: 12r + 4r = 16r 16r + 3r2 + -1r2 = -4r + r2 + 4r + -1r2 Combine like terms: 3r2 + -1r2 = 2r2 16r + 2r2 = -4r + r2 + 4r + -1r2 Reorder the terms: 16r + 2r2 = -4r + 4r + r2 + -1r2 Combine like terms: -4r + 4r = 0 16r + 2r2 = 0 + r2 + -1r2 16r + 2r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 16r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2r'. 2r(8 + r) = 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 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Solution
r = {0, -8}
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