5r^2+36r+7=

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Solution for 5r^2+36r+7= equation:


Simplifying
5r2 + 36r + 7 = 0

Reorder the terms:
7 + 36r + 5r2 = 0

Solving
7 + 36r + 5r2 = 0

Solving for variable 'r'.

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

Subproblem 1

Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 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 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7

Subproblem 2

Set the factor '(1 + 5r)' equal to zero and attempt to solve: Simplifying 1 + 5r = 0 Solving 1 + 5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5r = 0 + -1 5r = 0 + -1 Combine like terms: 0 + -1 = -1 5r = -1 Divide each side by '5'. r = -0.2 Simplifying r = -0.2

Solution

r = {-7, -0.2}

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