5*r^2-17*r-40=0

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Solution for 5*r^2-17*r-40=0 equation:


Simplifying
5r2 + -17r + -40 = 0

Reorder the terms:
-40 + -17r + 5r2 = 0

Solving
-40 + -17r + 5r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -5r)(5 + -1r) = 0

Subproblem 1

Set the factor '(-8 + -5r)' equal to zero and attempt to solve: Simplifying -8 + -5r = 0 Solving -8 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 0 + 8 -5r = 0 + 8 Combine like terms: 0 + 8 = 8 -5r = 8 Divide each side by '-5'. r = -1.6 Simplifying r = -1.6

Subproblem 2

Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5

Solution

r = {-1.6, 5}

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