-3r^2+7r+40=0

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Solution for -3r^2+7r+40=0 equation:


Simplifying
-3r2 + 7r + 40 = 0

Reorder the terms:
40 + 7r + -3r2 = 0

Solving
40 + 7r + -3r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + -1r)(8 + 3r) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + 3r)' equal to zero and attempt to solve: Simplifying 8 + 3r = 0 Solving 8 + 3r = 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 + 3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = 0 + -8 3r = 0 + -8 Combine like terms: 0 + -8 = -8 3r = -8 Divide each side by '3'. r = -2.666666667 Simplifying r = -2.666666667

Solution

r = {5, -2.666666667}

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