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Simplifying 5q2 + 18q = 8 Reorder the terms: 18q + 5q2 = 8 Solving 18q + 5q2 = 8 Solving for variable 'q'. Reorder the terms: -8 + 18q + 5q2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 18q + 5q2 = 0 Factor a trinomial. (-4 + -1q)(2 + -5q) = 0Subproblem 1
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 = -4Subproblem 2
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 = 0.4Solution
q = {-4, 0.4}
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