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Simplifying 2r2 + 13r = 15 Reorder the terms: 13r + 2r2 = 15 Solving 13r + 2r2 = 15 Solving for variable 'r'. Reorder the terms: -15 + 13r + 2r2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 13r + 2r2 = 0 Factor a trinomial. (-15 + -2r)(1 + -1r) = 0Subproblem 1
Set the factor '(-15 + -2r)' equal to zero and attempt to solve: Simplifying -15 + -2r = 0 Solving -15 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2r = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = 0 + 15 -2r = 0 + 15 Combine like terms: 0 + 15 = 15 -2r = 15 Divide each side by '-2'. r = -7.5 Simplifying r = -7.5Subproblem 2
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 = 1Solution
r = {-7.5, 1}
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