(2q*q)-3q-2=0

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Solution for (2q*q)-3q-2=0 equation:


Simplifying
(2q * q) + -3q + -2 = 0

Multiply q * q
(2q2) + -3q + -2 = 0

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

Solving
-2 + -3q + (2q2) = 0

Solving for variable 'q'.

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

Subproblem 1

Set the factor '(-1 + -2q)' equal to zero and attempt to solve: Simplifying -1 + -2q = 0 Solving -1 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2q = 0 + 1 -2q = 0 + 1 Combine like terms: 0 + 1 = 1 -2q = 1 Divide each side by '-2'. q = -0.5 Simplifying q = -0.5

Subproblem 2

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

Solution

q = {-0.5, 2}

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