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Simplifying 30r2 + 19r + -63 = 0 Reorder the terms: -63 + 19r + 30r2 = 0 Solving -63 + 19r + 30r2 = 0 Solving for variable 'r'. Factor a trinomial. (-9 + -5r)(7 + -6r) = 0Subproblem 1
Set the factor '(-9 + -5r)' equal to zero and attempt to solve: Simplifying -9 + -5r = 0 Solving -9 + -5r = 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 + -5r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5r = 0 + 9 -5r = 0 + 9 Combine like terms: 0 + 9 = 9 -5r = 9 Divide each side by '-5'. r = -1.8 Simplifying r = -1.8Subproblem 2
Set the factor '(7 + -6r)' equal to zero and attempt to solve: Simplifying 7 + -6r = 0 Solving 7 + -6r = 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 + -6r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = 0 + -7 -6r = 0 + -7 Combine like terms: 0 + -7 = -7 -6r = -7 Divide each side by '-6'. r = 1.166666667 Simplifying r = 1.166666667Solution
r = {-1.8, 1.166666667}
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