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Simplifying 6r2 + -180r + -2400 = 0 Reorder the terms: -2400 + -180r + 6r2 = 0 Solving -2400 + -180r + 6r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6'. 6(-400 + -30r + r2) = 0 Factor a trinomial. 6((-10 + -1r)(40 + -1r)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-10 + -1r)' equal to zero and attempt to solve: Simplifying -10 + -1r = 0 Solving -10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = 0 + 10 -1r = 0 + 10 Combine like terms: 0 + 10 = 10 -1r = 10 Divide each side by '-1'. r = -10 Simplifying r = -10Subproblem 2
Set the factor '(40 + -1r)' equal to zero and attempt to solve: Simplifying 40 + -1r = 0 Solving 40 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1r = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1r = 0 + -40 -1r = 0 + -40 Combine like terms: 0 + -40 = -40 -1r = -40 Divide each side by '-1'. r = 40 Simplifying r = 40Solution
r = {-10, 40}
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