4q(7q+6)+q(7q+3)=

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Solution for 4q(7q+6)+q(7q+3)= equation:


Simplifying
4q(7q + 6) + q(7q + 3) = 0

Reorder the terms:
4q(6 + 7q) + q(7q + 3) = 0
(6 * 4q + 7q * 4q) + q(7q + 3) = 0
(24q + 28q2) + q(7q + 3) = 0

Reorder the terms:
24q + 28q2 + q(3 + 7q) = 0
24q + 28q2 + (3 * q + 7q * q) = 0
24q + 28q2 + (3q + 7q2) = 0

Reorder the terms:
24q + 3q + 28q2 + 7q2 = 0

Combine like terms: 24q + 3q = 27q
27q + 28q2 + 7q2 = 0

Combine like terms: 28q2 + 7q2 = 35q2
27q + 35q2 = 0

Solving
27q + 35q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(27 + 35q) = 0

Subproblem 1

Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0

Subproblem 2

Set the factor '(27 + 35q)' equal to zero and attempt to solve: Simplifying 27 + 35q = 0 Solving 27 + 35q = 0 Move all terms containing q to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 35q = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 35q = 0 + -27 35q = 0 + -27 Combine like terms: 0 + -27 = -27 35q = -27 Divide each side by '35'. q = -0.7714285714 Simplifying q = -0.7714285714

Solution

q = {0, -0.7714285714}

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