49r^2+91r+40=0

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Solution for 49r^2+91r+40=0 equation:


Simplifying
49r2 + 91r + 40 = 0

Reorder the terms:
40 + 91r + 49r2 = 0

Solving
40 + 91r + 49r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(8 + 7r)(5 + 7r) = 0

Subproblem 1

Set the factor '(8 + 7r)' equal to zero and attempt to solve: Simplifying 8 + 7r = 0 Solving 8 + 7r = 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 + 7r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7r = 0 + -8 7r = 0 + -8 Combine like terms: 0 + -8 = -8 7r = -8 Divide each side by '7'. r = -1.142857143 Simplifying r = -1.142857143

Subproblem 2

Set the factor '(5 + 7r)' equal to zero and attempt to solve: Simplifying 5 + 7r = 0 Solving 5 + 7r = 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 + 7r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7r = 0 + -5 7r = 0 + -5 Combine like terms: 0 + -5 = -5 7r = -5 Divide each side by '7'. r = -0.7142857143 Simplifying r = -0.7142857143

Solution

r = {-1.142857143, -0.7142857143}

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