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Simplifying 2q2 + -7q = 4 Reorder the terms: -7q + 2q2 = 4 Solving -7q + 2q2 = 4 Solving for variable 'q'. Reorder the terms: -4 + -7q + 2q2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -7q + 2q2 = 0 Factor a trinomial. (-1 + -2q)(4 + -1q) = 0Subproblem 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 = -0.5Subproblem 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 = 4Solution
q = {-0.5, 4}
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