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Simplifying 15r2 + -114r + -189 = 0 Reorder the terms: -189 + -114r + 15r2 = 0 Solving -189 + -114r + 15r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(-63 + -38r + 5r2) = 0 Factor a trinomial. 3((-7 + -5r)(9 + -1r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -5r)' equal to zero and attempt to solve: Simplifying -7 + -5r = 0 Solving -7 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5r = 0 + 7 -5r = 0 + 7 Combine like terms: 0 + 7 = 7 -5r = 7 Divide each side by '-5'. r = -1.4 Simplifying r = -1.4Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {-1.4, 9}
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