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Simplifying 3x2 + -21x + 60024 = 0 Reorder the terms: 60024 + -21x + 3x2 = 0 Solving 60024 + -21x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(20008 + -7x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(20008 + -7x + x2)' equal to zero and attempt to solve: Simplifying 20008 + -7x + x2 = 0 Solving 20008 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20008' to each side of the equation. 20008 + -7x + -20008 + x2 = 0 + -20008 Reorder the terms: 20008 + -20008 + -7x + x2 = 0 + -20008 Combine like terms: 20008 + -20008 = 0 0 + -7x + x2 = 0 + -20008 -7x + x2 = 0 + -20008 Combine like terms: 0 + -20008 = -20008 -7x + x2 = -20008 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -20008 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -20008 + 12.25 Combine like terms: -20008 + 12.25 = -19995.75 12.25 + -7x + x2 = -19995.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -19995.75 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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