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Simplifying 3q2 + -36q + 750 = 0 Reorder the terms: 750 + -36q + 3q2 = 0 Solving 750 + -36q + 3q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3'. 3(250 + -12q + q2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(250 + -12q + q2)' equal to zero and attempt to solve: Simplifying 250 + -12q + q2 = 0 Solving 250 + -12q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-250' to each side of the equation. 250 + -12q + -250 + q2 = 0 + -250 Reorder the terms: 250 + -250 + -12q + q2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -12q + q2 = 0 + -250 -12q + q2 = 0 + -250 Combine like terms: 0 + -250 = -250 -12q + q2 = -250 The q term is -12q. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12q + 36 + q2 = -250 + 36 Reorder the terms: 36 + -12q + q2 = -250 + 36 Combine like terms: -250 + 36 = -214 36 + -12q + q2 = -214 Factor a perfect square on the left side: (q + -6)(q + -6) = -214 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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