-2q^2+18q-40=

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Solution for -2q^2+18q-40= equation:


Simplifying
-2q2 + 18q + -40 = 0

Reorder the terms:
-40 + 18q + -2q2 = 0

Solving
-40 + 18q + -2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 9q + -1q2) = 0

Factor a trinomial.
2((-5 + q)(4 + -1q)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + q)' equal to zero and attempt to solve: Simplifying -5 + q = 0 Solving -5 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + q = 0 + 5 q = 0 + 5 Combine like terms: 0 + 5 = 5 q = 5 Simplifying q = 5

Subproblem 2

Set the factor '(4 + -1q)' equal to zero and attempt to solve: Simplifying 4 + -1q = 0 Solving 4 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1q = 0 + -4 -1q = 0 + -4 Combine like terms: 0 + -4 = -4 -1q = -4 Divide each side by '-1'. q = 4 Simplifying q = 4

Solution

q = {5, 4}

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