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Simplifying 4q2 + -8q + 360 = 0 Reorder the terms: 360 + -8q + 4q2 = 0 Solving 360 + -8q + 4q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4'. 4(90 + -2q + q2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(90 + -2q + q2)' equal to zero and attempt to solve: Simplifying 90 + -2q + q2 = 0 Solving 90 + -2q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-90' to each side of the equation. 90 + -2q + -90 + q2 = 0 + -90 Reorder the terms: 90 + -90 + -2q + q2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -2q + q2 = 0 + -90 -2q + q2 = 0 + -90 Combine like terms: 0 + -90 = -90 -2q + q2 = -90 The q term is -2q. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2q + 1 + q2 = -90 + 1 Reorder the terms: 1 + -2q + q2 = -90 + 1 Combine like terms: -90 + 1 = -89 1 + -2q + q2 = -89 Factor a perfect square on the left side: (q + -1)(q + -1) = -89 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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