2q^2+7q-184=0

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Solution for 2q^2+7q-184=0 equation:


Simplifying
2q2 + 7q + -184 = 0

Reorder the terms:
-184 + 7q + 2q2 = 0

Solving
-184 + 7q + 2q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-23 + -2q)(8 + -1q) = 0

Subproblem 1

Set the factor '(-23 + -2q)' equal to zero and attempt to solve: Simplifying -23 + -2q = 0 Solving -23 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2q = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -2q = 0 + 23 -2q = 0 + 23 Combine like terms: 0 + 23 = 23 -2q = 23 Divide each side by '-2'. q = -11.5 Simplifying q = -11.5

Subproblem 2

Set the factor '(8 + -1q)' equal to zero and attempt to solve: Simplifying 8 + -1q = 0 Solving 8 + -1q = 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 + -1q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1q = 0 + -8 -1q = 0 + -8 Combine like terms: 0 + -8 = -8 -1q = -8 Divide each side by '-1'. q = 8 Simplifying q = 8

Solution

q = {-11.5, 8}

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