(5+3q)(5+3q)=

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Solution for (5+3q)(5+3q)= equation:


Simplifying
(5 + 3q)(5 + 3q) = 0

Multiply (5 + 3q) * (5 + 3q)
(5(5 + 3q) + 3q * (5 + 3q)) = 0
((5 * 5 + 3q * 5) + 3q * (5 + 3q)) = 0
((25 + 15q) + 3q * (5 + 3q)) = 0
(25 + 15q + (5 * 3q + 3q * 3q)) = 0
(25 + 15q + (15q + 9q2)) = 0

Combine like terms: 15q + 15q = 30q
(25 + 30q + 9q2) = 0

Solving
25 + 30q + 9q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(5 + 3q)(5 + 3q) = 0

Subproblem 1

Set the factor '(5 + 3q)' equal to zero and attempt to solve: Simplifying 5 + 3q = 0 Solving 5 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3q = 0 + -5 3q = 0 + -5 Combine like terms: 0 + -5 = -5 3q = -5 Divide each side by '3'. q = -1.666666667 Simplifying q = -1.666666667

Subproblem 2

Set the factor '(5 + 3q)' equal to zero and attempt to solve: Simplifying 5 + 3q = 0 Solving 5 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3q = 0 + -5 3q = 0 + -5 Combine like terms: 0 + -5 = -5 3q = -5 Divide each side by '3'. q = -1.666666667 Simplifying q = -1.666666667

Solution

q = {-1.666666667, -1.666666667}

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