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Simplifying 3q2 + -18q + 30 = 0 Reorder the terms: 30 + -18q + 3q2 = 0 Solving 30 + -18q + 3q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + -6q + q2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + -6q + q2)' equal to zero and attempt to solve: Simplifying 10 + -6q + q2 = 0 Solving 10 + -6q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6q + -10 + q2 = 0 + -10 Reorder the terms: 10 + -10 + -6q + q2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6q + q2 = 0 + -10 -6q + q2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6q + q2 = -10 The q term is -6q. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6q + 9 + q2 = -10 + 9 Reorder the terms: 9 + -6q + q2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6q + q2 = -1 Factor a perfect square on the left side: (q + -3)(q + -3) = -1 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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