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Simplifying r2 + -798r + -1600 = 0 Reorder the terms: -1600 + -798r + r2 = 0 Solving -1600 + -798r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-2 + -1r)(800 + -1r) = 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 '(800 + -1r)' equal to zero and attempt to solve: Simplifying 800 + -1r = 0 Solving 800 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + -1r = 0 + -800 Combine like terms: 800 + -800 = 0 0 + -1r = 0 + -800 -1r = 0 + -800 Combine like terms: 0 + -800 = -800 -1r = -800 Divide each side by '-1'. r = 800 Simplifying r = 800Solution
r = {-2, 800}
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