3q^2-5q-6q^2+3q=

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Solution for 3q^2-5q-6q^2+3q= equation:


Simplifying
3q2 + -5q + -6q2 + 3q = 0

Reorder the terms:
-5q + 3q + 3q2 + -6q2 = 0

Combine like terms: -5q + 3q = -2q
-2q + 3q2 + -6q2 = 0

Combine like terms: 3q2 + -6q2 = -3q2
-2q + -3q2 = 0

Solving
-2q + -3q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-1q'.
-1q(2 + 3q) = 0

Ignore the factor -1.

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 '(2 + 3q)' equal to zero and attempt to solve: Simplifying 2 + 3q = 0 Solving 2 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = 0 + -2 3q = 0 + -2 Combine like terms: 0 + -2 = -2 3q = -2 Divide each side by '3'. q = -0.6666666667 Simplifying q = -0.6666666667

Solution

q = {0, -0.6666666667}

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