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Simplifying 2q2 + -8q + 50 = 0 Reorder the terms: 50 + -8q + 2q2 = 0 Solving 50 + -8q + 2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -4q + q2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + -4q + q2)' equal to zero and attempt to solve: Simplifying 25 + -4q + q2 = 0 Solving 25 + -4q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -4q + -25 + q2 = 0 + -25 Reorder the terms: 25 + -25 + -4q + q2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4q + q2 = 0 + -25 -4q + q2 = 0 + -25 Combine like terms: 0 + -25 = -25 -4q + q2 = -25 The q term is -4q. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4q + 4 + q2 = -25 + 4 Reorder the terms: 4 + -4q + q2 = -25 + 4 Combine like terms: -25 + 4 = -21 4 + -4q + q2 = -21 Factor a perfect square on the left side: (q + -2)(q + -2) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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