(8r+7)(2r+3)=

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Solution for (8r+7)(2r+3)= equation:


Simplifying
(8r + 7)(2r + 3) = 0

Reorder the terms:
(7 + 8r)(2r + 3) = 0

Reorder the terms:
(7 + 8r)(3 + 2r) = 0

Multiply (7 + 8r) * (3 + 2r)
(7(3 + 2r) + 8r * (3 + 2r)) = 0
((3 * 7 + 2r * 7) + 8r * (3 + 2r)) = 0
((21 + 14r) + 8r * (3 + 2r)) = 0
(21 + 14r + (3 * 8r + 2r * 8r)) = 0
(21 + 14r + (24r + 16r2)) = 0

Combine like terms: 14r + 24r = 38r
(21 + 38r + 16r2) = 0

Solving
21 + 38r + 16r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(3 + 2r)(7 + 8r) = 0

Subproblem 1

Set the factor '(3 + 2r)' equal to zero and attempt to solve: Simplifying 3 + 2r = 0 Solving 3 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 0 + -3 2r = 0 + -3 Combine like terms: 0 + -3 = -3 2r = -3 Divide each side by '2'. r = -1.5 Simplifying r = -1.5

Subproblem 2

Set the factor '(7 + 8r)' equal to zero and attempt to solve: Simplifying 7 + 8r = 0 Solving 7 + 8r = 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 + 8r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8r = 0 + -7 8r = 0 + -7 Combine like terms: 0 + -7 = -7 8r = -7 Divide each side by '8'. r = -0.875 Simplifying r = -0.875

Solution

r = {-1.5, -0.875}

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