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Simplifying -1r2 + -4r(3r + 3) = 0 Reorder the terms: -1r2 + -4r(3 + 3r) = 0 -1r2 + (3 * -4r + 3r * -4r) = 0 -1r2 + (-12r + -12r2) = 0 Reorder the terms: -12r + -1r2 + -12r2 = 0 Combine like terms: -1r2 + -12r2 = -13r2 -12r + -13r2 = 0 Solving -12r + -13r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-1r'. -1r(12 + 13r) = 0 Ignore the factor -1.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 '(12 + 13r)' equal to zero and attempt to solve: Simplifying 12 + 13r = 0 Solving 12 + 13r = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 13r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13r = 0 + -12 13r = 0 + -12 Combine like terms: 0 + -12 = -12 13r = -12 Divide each side by '13'. r = -0.9230769231 Simplifying r = -0.9230769231Solution
r = {0, -0.9230769231}
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