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