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Simplifying r2 + -3r + -304 = 0 Reorder the terms: -304 + -3r + r2 = 0 Solving -304 + -3r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-16 + -1r)(19 + -1r) = 0Subproblem 1
Set the factor '(-16 + -1r)' equal to zero and attempt to solve: Simplifying -16 + -1r = 0 Solving -16 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = 0 + 16 -1r = 0 + 16 Combine like terms: 0 + 16 = 16 -1r = 16 Divide each side by '-1'. r = -16 Simplifying r = -16Subproblem 2
Set the factor '(19 + -1r)' equal to zero and attempt to solve: Simplifying 19 + -1r = 0 Solving 19 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1r = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1r = 0 + -19 -1r = 0 + -19 Combine like terms: 0 + -19 = -19 -1r = -19 Divide each side by '-1'. r = 19 Simplifying r = 19Solution
r = {-16, 19}
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