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Simplifying 16q2 + -56q + 49 = 0 Reorder the terms: 49 + -56q + 16q2 = 0 Solving 49 + -56q + 16q2 = 0 Solving for variable 'q'. Factor a trinomial. (7 + -4q)(7 + -4q) = 0Subproblem 1
Set the factor '(7 + -4q)' equal to zero and attempt to solve: Simplifying 7 + -4q = 0 Solving 7 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4q = 0 + -7 -4q = 0 + -7 Combine like terms: 0 + -7 = -7 -4q = -7 Divide each side by '-4'. q = 1.75 Simplifying q = 1.75Subproblem 2
Set the factor '(7 + -4q)' equal to zero and attempt to solve: Simplifying 7 + -4q = 0 Solving 7 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4q = 0 + -7 -4q = 0 + -7 Combine like terms: 0 + -7 = -7 -4q = -7 Divide each side by '-4'. q = 1.75 Simplifying q = 1.75Solution
q = {1.75, 1.75}
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