10q^2-q-2=

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Solution for 10q^2-q-2= equation:


Simplifying
10q2 + -1q + -2 = 0

Reorder the terms:
-2 + -1q + 10q2 = 0

Solving
-2 + -1q + 10q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-2 + -5q)(1 + -2q) = 0

Subproblem 1

Set the factor '(-2 + -5q)' equal to zero and attempt to solve: Simplifying -2 + -5q = 0 Solving -2 + -5q = 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 + -5q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5q = 0 + 2 -5q = 0 + 2 Combine like terms: 0 + 2 = 2 -5q = 2 Divide each side by '-5'. q = -0.4 Simplifying q = -0.4

Subproblem 2

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

Solution

q = {-0.4, 0.5}

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