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Simplifying 8r2 + 15r = 2 Reorder the terms: 15r + 8r2 = 2 Solving 15r + 8r2 = 2 Solving for variable 'r'. Reorder the terms: -2 + 15r + 8r2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 15r + 8r2 = 0 Factor a trinomial. (-2 + -1r)(1 + -8r) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + -8r)' equal to zero and attempt to solve: Simplifying 1 + -8r = 0 Solving 1 + -8r = 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 + -8r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8r = 0 + -1 -8r = 0 + -1 Combine like terms: 0 + -1 = -1 -8r = -1 Divide each side by '-8'. r = 0.125 Simplifying r = 0.125Solution
r = {-2, 0.125}
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