3q^2-2q-16=0

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Solution for 3q^2-2q-16=0 equation:


Simplifying
3q2 + -2q + -16 = 0

Reorder the terms:
-16 + -2q + 3q2 = 0

Solving
-16 + -2q + 3q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-2 + -1q)(8 + -3q) = 0

Subproblem 1

Set the factor '(-2 + -1q)' equal to zero and attempt to solve: Simplifying -2 + -1q = 0 Solving -2 + -1q = 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 + -1q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1q = 0 + 2 -1q = 0 + 2 Combine like terms: 0 + 2 = 2 -1q = 2 Divide each side by '-1'. q = -2 Simplifying q = -2

Subproblem 2

Set the factor '(8 + -3q)' equal to zero and attempt to solve: Simplifying 8 + -3q = 0 Solving 8 + -3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3q = 0 + -8 -3q = 0 + -8 Combine like terms: 0 + -8 = -8 -3q = -8 Divide each side by '-3'. q = 2.666666667 Simplifying q = 2.666666667

Solution

q = {-2, 2.666666667}

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