4r^2+21r+5=

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Solution for 4r^2+21r+5= equation:


Simplifying
4r2 + 21r + 5 = 0

Reorder the terms:
5 + 21r + 4r2 = 0

Solving
5 + 21r + 4r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + r)(1 + 4r) = 0

Subproblem 1

Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 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 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5

Subproblem 2

Set the factor '(1 + 4r)' equal to zero and attempt to solve: Simplifying 1 + 4r = 0 Solving 1 + 4r = 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 + 4r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4r = 0 + -1 4r = 0 + -1 Combine like terms: 0 + -1 = -1 4r = -1 Divide each side by '4'. r = -0.25 Simplifying r = -0.25

Solution

r = {-5, -0.25}

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