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Simplifying 8r2 + -25r + -36 = -8 Reorder the terms: -36 + -25r + 8r2 = -8 Solving -36 + -25r + 8r2 = -8 Solving for variable 'r'. Reorder the terms: -36 + 8 + -25r + 8r2 = -8 + 8 Combine like terms: -36 + 8 = -28 -28 + -25r + 8r2 = -8 + 8 Combine like terms: -8 + 8 = 0 -28 + -25r + 8r2 = 0 Factor a trinomial. (-7 + -8r)(4 + -1r) = 0Subproblem 1
Set the factor '(-7 + -8r)' equal to zero and attempt to solve: Simplifying -7 + -8r = 0 Solving -7 + -8r = 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 + -8r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8r = 0 + 7 -8r = 0 + 7 Combine like terms: 0 + 7 = 7 -8r = 7 Divide each side by '-8'. r = -0.875 Simplifying r = -0.875Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-0.875, 4}
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