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Simplifying 2q2 + -8q + 360 = 0 Reorder the terms: 360 + -8q + 2q2 = 0 Solving 360 + -8q + 2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(180 + -4q + q2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(180 + -4q + q2)' equal to zero and attempt to solve: Simplifying 180 + -4q + q2 = 0 Solving 180 + -4q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + -4q + -180 + q2 = 0 + -180 Reorder the terms: 180 + -180 + -4q + q2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -4q + q2 = 0 + -180 -4q + q2 = 0 + -180 Combine like terms: 0 + -180 = -180 -4q + q2 = -180 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 = -180 + 4 Reorder the terms: 4 + -4q + q2 = -180 + 4 Combine like terms: -180 + 4 = -176 4 + -4q + q2 = -176 Factor a perfect square on the left side: (q + -2)(q + -2) = -176 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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