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Simplifying 15r2 + -23r + -14 = 0 Reorder the terms: -14 + -23r + 15r2 = 0 Solving -14 + -23r + 15r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -15r)(2 + -1r) = 0Subproblem 1
Set the factor '(-7 + -15r)' equal to zero and attempt to solve: Simplifying -7 + -15r = 0 Solving -7 + -15r = 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 + -15r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -15r = 0 + 7 -15r = 0 + 7 Combine like terms: 0 + 7 = 7 -15r = 7 Divide each side by '-15'. r = -0.4666666667 Simplifying r = -0.4666666667Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {-0.4666666667, 2}
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