3r^2+20r+36=4

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Solution for 3r^2+20r+36=4 equation:


Simplifying
3r2 + 20r + 36 = 4

Reorder the terms:
36 + 20r + 3r2 = 4

Solving
36 + 20r + 3r2 = 4

Solving for variable 'r'.

Reorder the terms:
36 + -4 + 20r + 3r2 = 4 + -4

Combine like terms: 36 + -4 = 32
32 + 20r + 3r2 = 4 + -4

Combine like terms: 4 + -4 = 0
32 + 20r + 3r2 = 0

Factor a trinomial.
(4 + r)(8 + 3r) = 0

Subproblem 1

Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4

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 = {-4, -2.666666667}

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