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Simplifying 12x2 + -120x + 3600 = 0 Reorder the terms: 3600 + -120x + 12x2 = 0 Solving 3600 + -120x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(300 + -10x + x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(300 + -10x + x2)' equal to zero and attempt to solve: Simplifying 300 + -10x + x2 = 0 Solving 300 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-300' to each side of the equation. 300 + -10x + -300 + x2 = 0 + -300 Reorder the terms: 300 + -300 + -10x + x2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -10x + x2 = 0 + -300 -10x + x2 = 0 + -300 Combine like terms: 0 + -300 = -300 -10x + x2 = -300 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -300 + 25 Reorder the terms: 25 + -10x + x2 = -300 + 25 Combine like terms: -300 + 25 = -275 25 + -10x + x2 = -275 Factor a perfect square on the left side: (x + -5)(x + -5) = -275 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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