(7r+5)(4r+5)=

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Solution for (7r+5)(4r+5)= equation:


Simplifying
(7r + 5)(4r + 5) = 0

Reorder the terms:
(5 + 7r)(4r + 5) = 0

Reorder the terms:
(5 + 7r)(5 + 4r) = 0

Multiply (5 + 7r) * (5 + 4r)
(5(5 + 4r) + 7r * (5 + 4r)) = 0
((5 * 5 + 4r * 5) + 7r * (5 + 4r)) = 0
((25 + 20r) + 7r * (5 + 4r)) = 0
(25 + 20r + (5 * 7r + 4r * 7r)) = 0
(25 + 20r + (35r + 28r2)) = 0

Combine like terms: 20r + 35r = 55r
(25 + 55r + 28r2) = 0

Solving
25 + 55r + 28r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + 4r)(5 + 7r) = 0

Subproblem 1

Set the factor '(5 + 4r)' equal to zero and attempt to solve: Simplifying 5 + 4r = 0 Solving 5 + 4r = 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 + 4r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4r = 0 + -5 4r = 0 + -5 Combine like terms: 0 + -5 = -5 4r = -5 Divide each side by '4'. r = -1.25 Simplifying r = -1.25

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 = {-1.25, -0.7142857143}

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