5q(6-4q)+8q^2=

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Solution for 5q(6-4q)+8q^2= equation:


Simplifying
5q(6 + -4q) + 8q2 = 0
(6 * 5q + -4q * 5q) + 8q2 = 0
(30q + -20q2) + 8q2 = 0

Combine like terms: -20q2 + 8q2 = -12q2
30q + -12q2 = 0

Solving
30q + -12q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '6q'.
6q(5 + -2q) = 0

Ignore the factor 6.

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 '(5 + -2q)' equal to zero and attempt to solve: Simplifying 5 + -2q = 0 Solving 5 + -2q = 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 + -2q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 0 + -5 -2q = 0 + -5 Combine like terms: 0 + -5 = -5 -2q = -5 Divide each side by '-2'. q = 2.5 Simplifying q = 2.5

Solution

q = {0, 2.5}

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